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Finding the Fourth Proportional to 23,317.69, 32,177.55 and 12,707.14

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Solution

The fourth proportional to 23,317.69, 32,177.55 and 12,707.14 is: 17,535.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,317.69 : 32,177.55 = 12,707.14 : x
  2. Step 2: Convert to fraction form
    23,317.69/32,177.55 = 12,707.14/x
  3. Step 3: Cross multiply
    23,317.69x = 32,177.55 × 12,707.14
  4. Step 4: Simplify right side
    23,317.69x = 408,884,632.71
  5. Step 5: Solve for x
    x = 408,884,632.71/23,317.69
  6. Step 6: Final answer
    x = 17,535.38

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Why These Related Problems?

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