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Finding the Fourth Proportional to 14,732.74, 22,097.04 and 7,710.45

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Solution

The fourth proportional to 14,732.74, 22,097.04 and 7,710.45 is: 11,564.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,732.74 : 22,097.04 = 7,710.45 : x
  2. Step 2: Convert to fraction form
    14,732.74/22,097.04 = 7,710.45/x
  3. Step 3: Cross multiply
    14,732.74x = 22,097.04 × 7,710.45
  4. Step 4: Simplify right side
    14,732.74x = 170,378,122.07
  5. Step 5: Solve for x
    x = 170,378,122.07/14,732.74
  6. Step 6: Final answer
    x = 11,564.59

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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.