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Finding the Fourth Proportional to 22,980.24, 34,475.76 and 7,397.28

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Solution

The fourth proportional to 22,980.24, 34,475.76 and 7,397.28 is: 11,097.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,980.24 : 34,475.76 = 7,397.28 : x
  2. Step 2: Convert to fraction form
    22,980.24/34,475.76 = 7,397.28/x
  3. Step 3: Cross multiply
    22,980.24x = 34,475.76 × 7,397.28
  4. Step 4: Simplify right side
    22,980.24x = 255,026,849.93
  5. Step 5: Solve for x
    x = 255,026,849.93/22,980.24
  6. Step 6: Final answer
    x = 11,097.66

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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.