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Finding the Fourth Proportional to 15,869.64, 21,894.62 and 9,155.14

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Solution

The fourth proportional to 15,869.64, 21,894.62 and 9,155.14 is: 12,630.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,869.64 : 21,894.62 = 9,155.14 : x
  2. Step 2: Convert to fraction form
    15,869.64/21,894.62 = 9,155.14/x
  3. Step 3: Cross multiply
    15,869.64x = 21,894.62 × 9,155.14
  4. Step 4: Simplify right side
    15,869.64x = 200,448,311.35
  5. Step 5: Solve for x
    x = 200,448,311.35/15,869.64
  6. Step 6: Final answer
    x = 12,630.93

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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.