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Finding the Fourth Proportional to 10,264.32, 15,323.58 and 9,899.82

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Solution

The fourth proportional to 10,264.32, 15,323.58 and 9,899.82 is: 14,779.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264.32 : 15,323.58 = 9,899.82 : x
  2. Step 2: Convert to fraction form
    10,264.32/15,323.58 = 9,899.82/x
  3. Step 3: Cross multiply
    10,264.32x = 15,323.58 × 9,899.82
  4. Step 4: Simplify right side
    10,264.32x = 151,700,683.76
  5. Step 5: Solve for x
    x = 151,700,683.76/10,264.32
  6. Step 6: Final answer
    x = 14,779.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.