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Finding the Fourth Proportional to 22,855.92, 31,547.28 and 13,430.76

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Solution

The fourth proportional to 22,855.92, 31,547.28 and 13,430.76 is: 18,538.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,855.92 : 31,547.28 = 13,430.76 : x
  2. Step 2: Convert to fraction form
    22,855.92/31,547.28 = 13,430.76/x
  3. Step 3: Cross multiply
    22,855.92x = 31,547.28 × 13,430.76
  4. Step 4: Simplify right side
    22,855.92x = 423,703,946.33
  5. Step 5: Solve for x
    x = 423,703,946.33/22,855.92
  6. Step 6: Final answer
    x = 18,538.04

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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.