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Finding the Fourth Proportional to 15,686.64, 23,535.36 and 6,920.28

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Solution

The fourth proportional to 15,686.64, 23,535.36 and 6,920.28 is: 10,382.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,686.64 : 23,535.36 = 6,920.28 : x
  2. Step 2: Convert to fraction form
    15,686.64/23,535.36 = 6,920.28/x
  3. Step 3: Cross multiply
    15,686.64x = 23,535.36 × 6,920.28
  4. Step 4: Simplify right side
    15,686.64x = 162,871,281.10
  5. Step 5: Solve for x
    x = 162,871,281.10/15,686.64
  6. Step 6: Final answer
    x = 10,382.80

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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.