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Finding the Fourth Proportional to 24,651, 34,018.40 and 13,473

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Solution

The fourth proportional to 24,651, 34,018.40 and 13,473 is: 18,592.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,651 : 34,018.40 = 13,473 : x
  2. Step 2: Convert to fraction form
    24,651/34,018.40 = 13,473/x
  3. Step 3: Cross multiply
    24,651x = 34,018.40 × 13,473
  4. Step 4: Simplify right side
    24,651x = 458,329,903.20
  5. Step 5: Solve for x
    x = 458,329,903.20/24,651
  6. Step 6: Final answer
    x = 18,592.75

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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.