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Finding the Fourth Proportional to 27,152.28, 40,726.90 and 7,429.40

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Solution

The fourth proportional to 27,152.28, 40,726.90 and 7,429.40 is: 11,143.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,152.28 : 40,726.90 = 7,429.40 : x
  2. Step 2: Convert to fraction form
    27,152.28/40,726.90 = 7,429.40/x
  3. Step 3: Cross multiply
    27,152.28x = 40,726.90 × 7,429.40
  4. Step 4: Simplify right side
    27,152.28x = 302,576,430.86
  5. Step 5: Solve for x
    x = 302,576,430.86/27,152.28
  6. Step 6: Final answer
    x = 11,143.68

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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.