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Finding the Fourth Proportional to 14,946.76, 22,425 and 12,471.40

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Solution

The fourth proportional to 14,946.76, 22,425 and 12,471.40 is: 18,711.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,946.76 : 22,425 = 12,471.40 : x
  2. Step 2: Convert to fraction form
    14,946.76/22,425 = 12,471.40/x
  3. Step 3: Cross multiply
    14,946.76x = 22,425 × 12,471.40
  4. Step 4: Simplify right side
    14,946.76x = 279,671,145
  5. Step 5: Solve for x
    x = 279,671,145/14,946.76
  6. Step 6: Final answer
    x = 18,711.16

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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.