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Finding the Fourth Proportional to 13,493.40, 18,683.10 and 12,802.20

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Solution

The fourth proportional to 13,493.40, 18,683.10 and 12,802.20 is: 17,726.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,493.40 : 18,683.10 = 12,802.20 : x
  2. Step 2: Convert to fraction form
    13,493.40/18,683.10 = 12,802.20/x
  3. Step 3: Cross multiply
    13,493.40x = 18,683.10 × 12,802.20
  4. Step 4: Simplify right side
    13,493.40x = 239,184,782.82
  5. Step 5: Solve for x
    x = 239,184,782.82/13,493.40
  6. Step 6: Final answer
    x = 17,726.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.