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Finding the Fourth Proportional to 15,340.64, 23,010.90 and 6,569.84

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Solution

The fourth proportional to 15,340.64, 23,010.90 and 6,569.84 is: 9,854.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,340.64 : 23,010.90 = 6,569.84 : x
  2. Step 2: Convert to fraction form
    15,340.64/23,010.90 = 6,569.84/x
  3. Step 3: Cross multiply
    15,340.64x = 23,010.90 × 6,569.84
  4. Step 4: Simplify right side
    15,340.64x = 151,177,931.26
  5. Step 5: Solve for x
    x = 151,177,931.26/15,340.64
  6. Step 6: Final answer
    x = 9,854.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.