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Finding the Fourth Proportional to 14,712, 20,303.51 and 8,252.24

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Solution

The fourth proportional to 14,712, 20,303.51 and 8,252.24 is: 11,388.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,712 : 20,303.51 = 8,252.24 : x
  2. Step 2: Convert to fraction form
    14,712/20,303.51 = 8,252.24/x
  3. Step 3: Cross multiply
    14,712x = 20,303.51 × 8,252.24
  4. Step 4: Simplify right side
    14,712x = 167,549,437.36
  5. Step 5: Solve for x
    x = 167,549,437.36/14,712
  6. Step 6: Final answer
    x = 11,388.62

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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.