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Finding the Fourth Proportional to 16,471.84, 24,711.80 and 4,785.16

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Solution

The fourth proportional to 16,471.84, 24,711.80 and 4,785.16 is: 7,178.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,471.84 : 24,711.80 = 4,785.16 : x
  2. Step 2: Convert to fraction form
    16,471.84/24,711.80 = 4,785.16/x
  3. Step 3: Cross multiply
    16,471.84x = 24,711.80 × 4,785.16
  4. Step 4: Simplify right side
    16,471.84x = 118,249,916.89
  5. Step 5: Solve for x
    x = 118,249,916.89/16,471.84
  6. Step 6: Final answer
    x = 7,178.91

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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.