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Finding the Fourth Proportional to 13,045.39, 19,567.76 and 7,128.02

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Solution

The fourth proportional to 13,045.39, 19,567.76 and 7,128.02 is: 10,691.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,045.39 : 19,567.76 = 7,128.02 : x
  2. Step 2: Convert to fraction form
    13,045.39/19,567.76 = 7,128.02/x
  3. Step 3: Cross multiply
    13,045.39x = 19,567.76 × 7,128.02
  4. Step 4: Simplify right side
    13,045.39x = 139,479,397.91
  5. Step 5: Solve for x
    x = 139,479,397.91/13,045.39
  6. Step 6: Final answer
    x = 10,691.86

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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.