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Finding the Fourth Proportional to 13,065.71, 19,603.82 and 5,275.13

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Solution

The fourth proportional to 13,065.71, 19,603.82 and 5,275.13 is: 7,914.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,065.71 : 19,603.82 = 5,275.13 : x
  2. Step 2: Convert to fraction form
    13,065.71/19,603.82 = 5,275.13/x
  3. Step 3: Cross multiply
    13,065.71x = 19,603.82 × 5,275.13
  4. Step 4: Simplify right side
    13,065.71x = 103,412,614.17
  5. Step 5: Solve for x
    x = 103,412,614.17/13,065.71
  6. Step 6: Final answer
    x = 7,914.81

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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.