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Finding the Fourth Proportional to 15,828.02, 21,841.96 and 9,113.86

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Solution

The fourth proportional to 15,828.02, 21,841.96 and 9,113.86 is: 12,576.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,828.02 : 21,841.96 = 9,113.86 : x
  2. Step 2: Convert to fraction form
    15,828.02/21,841.96 = 9,113.86/x
  3. Step 3: Cross multiply
    15,828.02x = 21,841.96 × 9,113.86
  4. Step 4: Simplify right side
    15,828.02x = 199,064,565.57
  5. Step 5: Solve for x
    x = 199,064,565.57/15,828.02
  6. Step 6: Final answer
    x = 12,576.72

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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.