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Finding the Fourth Proportional to 24,712, 34,102.64 and 13,534.08

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Solution

The fourth proportional to 24,712, 34,102.64 and 13,534.08 is: 18,677.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,712 : 34,102.64 = 13,534.08 : x
  2. Step 2: Convert to fraction form
    24,712/34,102.64 = 13,534.08/x
  3. Step 3: Cross multiply
    24,712x = 34,102.64 × 13,534.08
  4. Step 4: Simplify right side
    24,712x = 461,547,857.97
  5. Step 5: Solve for x
    x = 461,547,857.97/24,712
  6. Step 6: Final answer
    x = 18,677.07

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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.