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Finding the Fourth Proportional to 15,841.71, 23,762.43 and 8,832.24

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Solution

The fourth proportional to 15,841.71, 23,762.43 and 8,832.24 is: 13,248.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,841.71 : 23,762.43 = 8,832.24 : x
  2. Step 2: Convert to fraction form
    15,841.71/23,762.43 = 8,832.24/x
  3. Step 3: Cross multiply
    15,841.71x = 23,762.43 × 8,832.24
  4. Step 4: Simplify right side
    15,841.71x = 209,875,484.74
  5. Step 5: Solve for x
    x = 209,875,484.74/15,841.71
  6. Step 6: Final answer
    x = 13,248.28

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1.5x scale

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.