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Finding the Fourth Proportional to 15,382.64, 21,228.24 and 9,095

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Solution

The fourth proportional to 15,382.64, 21,228.24 and 9,095 is: 12,551.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,382.64 : 21,228.24 = 9,095 : x
  2. Step 2: Convert to fraction form
    15,382.64/21,228.24 = 9,095/x
  3. Step 3: Cross multiply
    15,382.64x = 21,228.24 × 9,095
  4. Step 4: Simplify right side
    15,382.64x = 193,070,842.80
  5. Step 5: Solve for x
    x = 193,070,842.80/15,382.64
  6. Step 6: Final answer
    x = 12,551.22

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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.