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Finding the Fourth Proportional to 12,802.60, 19,206.60 and 4,038.40

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Solution

The fourth proportional to 12,802.60, 19,206.60 and 4,038.40 is: 6,058.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.60 : 19,206.60 = 4,038.40 : x
  2. Step 2: Convert to fraction form
    12,802.60/19,206.60 = 4,038.40/x
  3. Step 3: Cross multiply
    12,802.60x = 19,206.60 × 4,038.40
  4. Step 4: Simplify right side
    12,802.60x = 77,563,933.44
  5. Step 5: Solve for x
    x = 77,563,933.44/12,802.60
  6. Step 6: Final answer
    x = 6,058.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.