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Finding the Fourth Proportional to 19,715.40, 29,573.28 and 5,864.40

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Solution

The fourth proportional to 19,715.40, 29,573.28 and 5,864.40 is: 8,796.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,715.40 : 29,573.28 = 5,864.40 : x
  2. Step 2: Convert to fraction form
    19,715.40/29,573.28 = 5,864.40/x
  3. Step 3: Cross multiply
    19,715.40x = 29,573.28 × 5,864.40
  4. Step 4: Simplify right side
    19,715.40x = 173,429,543.23
  5. Step 5: Solve for x
    x = 173,429,543.23/19,715.40
  6. Step 6: Final answer
    x = 8,796.65

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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.