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Finding the Fourth Proportional to 10,523.88, 14,524.02 and 9,036.72

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Solution

The fourth proportional to 10,523.88, 14,524.02 and 9,036.72 is: 12,471.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.88 : 14,524.02 = 9,036.72 : x
  2. Step 2: Convert to fraction form
    10,523.88/14,524.02 = 9,036.72/x
  3. Step 3: Cross multiply
    10,523.88x = 14,524.02 × 9,036.72
  4. Step 4: Simplify right side
    10,523.88x = 131,249,502.01
  5. Step 5: Solve for x
    x = 131,249,502.01/10,523.88
  6. Step 6: Final answer
    x = 12,471.59

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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.