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Finding the Fourth Proportional to 24,298.32, 36,434.54 and 7,653.80

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Solution

The fourth proportional to 24,298.32, 36,434.54 and 7,653.80 is: 11,476.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,298.32 : 36,434.54 = 7,653.80 : x
  2. Step 2: Convert to fraction form
    24,298.32/36,434.54 = 7,653.80/x
  3. Step 3: Cross multiply
    24,298.32x = 36,434.54 × 7,653.80
  4. Step 4: Simplify right side
    24,298.32x = 278,862,682.25
  5. Step 5: Solve for x
    x = 278,862,682.25/24,298.32
  6. Step 6: Final answer
    x = 11,476.62

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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.