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Finding the Fourth Proportional to 13,117.16, 18,101.70 and 7,148.83

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Solution

The fourth proportional to 13,117.16, 18,101.70 and 7,148.83 is: 9,865.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,117.16 : 18,101.70 = 7,148.83 : x
  2. Step 2: Convert to fraction form
    13,117.16/18,101.70 = 7,148.83/x
  3. Step 3: Cross multiply
    13,117.16x = 18,101.70 × 7,148.83
  4. Step 4: Simplify right side
    13,117.16x = 129,406,007.17
  5. Step 5: Solve for x
    x = 129,406,007.17/13,117.16
  6. Step 6: Final answer
    x = 9,865.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.