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Finding the Fourth Proportional to 24,497.60, 36,746.40 and 14,631.80

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Solution

The fourth proportional to 24,497.60, 36,746.40 and 14,631.80 is: 21,947.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,497.60 : 36,746.40 = 14,631.80 : x
  2. Step 2: Convert to fraction form
    24,497.60/36,746.40 = 14,631.80/x
  3. Step 3: Cross multiply
    24,497.60x = 36,746.40 × 14,631.80
  4. Step 4: Simplify right side
    24,497.60x = 537,665,975.52
  5. Step 5: Solve for x
    x = 537,665,975.52/24,497.60
  6. Step 6: Final answer
    x = 21,947.70

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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.