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Finding the Fourth Proportional to 12,715.68, 19,068.24 and 4,920

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Solution

The fourth proportional to 12,715.68, 19,068.24 and 4,920 is: 7,377.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,715.68 : 19,068.24 = 4,920 : x
  2. Step 2: Convert to fraction form
    12,715.68/19,068.24 = 4,920/x
  3. Step 3: Cross multiply
    12,715.68x = 19,068.24 × 4,920
  4. Step 4: Simplify right side
    12,715.68x = 93,815,740.80
  5. Step 5: Solve for x
    x = 93,815,740.80/12,715.68
  6. Step 6: Final answer
    x = 7,377.96

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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.