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Finding the Fourth Proportional to 15,685.84, 23,541.72 and 6,458.32

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Solution

The fourth proportional to 15,685.84, 23,541.72 and 6,458.32 is: 9,692.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,685.84 : 23,541.72 = 6,458.32 : x
  2. Step 2: Convert to fraction form
    15,685.84/23,541.72 = 6,458.32/x
  3. Step 3: Cross multiply
    15,685.84x = 23,541.72 × 6,458.32
  4. Step 4: Simplify right side
    15,685.84x = 152,039,961.11
  5. Step 5: Solve for x
    x = 152,039,961.11/15,685.84
  6. Step 6: Final answer
    x = 9,692.82

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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.