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Finding the Fourth Proportional to 15,962.32, 22,039.88 and 9,683.20

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Solution

The fourth proportional to 15,962.32, 22,039.88 and 9,683.20 is: 13,370.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,962.32 : 22,039.88 = 9,683.20 : x
  2. Step 2: Convert to fraction form
    15,962.32/22,039.88 = 9,683.20/x
  3. Step 3: Cross multiply
    15,962.32x = 22,039.88 × 9,683.20
  4. Step 4: Simplify right side
    15,962.32x = 213,416,566.02
  5. Step 5: Solve for x
    x = 213,416,566.02/15,962.32
  6. Step 6: Final answer
    x = 13,370.02

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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.