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Finding the Fourth Proportional to 24,943, 37,414.45 and 14,547.46

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Solution

The fourth proportional to 24,943, 37,414.45 and 14,547.46 is: 21,821.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,943 : 37,414.45 = 14,547.46 : x
  2. Step 2: Convert to fraction form
    24,943/37,414.45 = 14,547.46/x
  3. Step 3: Cross multiply
    24,943x = 37,414.45 × 14,547.46
  4. Step 4: Simplify right side
    24,943x = 544,285,214.80
  5. Step 5: Solve for x
    x = 544,285,214.80/24,943
  6. Step 6: Final answer
    x = 21,821.16

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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.