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Finding the Fourth Proportional to 15,686.84, 23,543.22 and 6,459.32

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Solution

The fourth proportional to 15,686.84, 23,543.22 and 6,459.32 is: 9,694.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,686.84 : 23,543.22 = 6,459.32 : x
  2. Step 2: Convert to fraction form
    15,686.84/23,543.22 = 6,459.32/x
  3. Step 3: Cross multiply
    15,686.84x = 23,543.22 × 6,459.32
  4. Step 4: Simplify right side
    15,686.84x = 152,073,191.81
  5. Step 5: Solve for x
    x = 152,073,191.81/15,686.84
  6. Step 6: Final answer
    x = 9,694.32

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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.