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Finding the Fourth Proportional to 24,011.64, 36,083.07 and 14,153.74

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Solution

The fourth proportional to 24,011.64, 36,083.07 and 14,153.74 is: 21,269.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,011.64 : 36,083.07 = 14,153.74 : x
  2. Step 2: Convert to fraction form
    24,011.64/36,083.07 = 14,153.74/x
  3. Step 3: Cross multiply
    24,011.64x = 36,083.07 × 14,153.74
  4. Step 4: Simplify right side
    24,011.64x = 510,710,300.97
  5. Step 5: Solve for x
    x = 510,710,300.97/24,011.64
  6. Step 6: Final answer
    x = 21,269.28

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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.