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Finding the Fourth Proportional to 21,724.32, 32,580 and 7,681.76

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Solution

The fourth proportional to 21,724.32, 32,580 and 7,681.76 is: 11,520.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,724.32 : 32,580 = 7,681.76 : x
  2. Step 2: Convert to fraction form
    21,724.32/32,580 = 7,681.76/x
  3. Step 3: Cross multiply
    21,724.32x = 32,580 × 7,681.76
  4. Step 4: Simplify right side
    21,724.32x = 250,271,740.80
  5. Step 5: Solve for x
    x = 250,271,740.80/21,724.32
  6. Step 6: Final answer
    x = 11,520.35

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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.