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Finding the Fourth Proportional to 24,802.23, 37,254.23 and 16,381.17

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Solution

The fourth proportional to 24,802.23, 37,254.23 and 16,381.17 is: 24,605.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,802.23 : 37,254.23 = 16,381.17 : x
  2. Step 2: Convert to fraction form
    24,802.23/37,254.23 = 16,381.17/x
  3. Step 3: Cross multiply
    24,802.23x = 37,254.23 × 16,381.17
  4. Step 4: Simplify right side
    24,802.23x = 610,267,854.37
  5. Step 5: Solve for x
    x = 610,267,854.37/24,802.23
  6. Step 6: Final answer
    x = 24,605.36

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