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Finding the Fourth Proportional to 21,432.16, 29,577.60 and 12,000.64

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Solution

The fourth proportional to 21,432.16, 29,577.60 and 12,000.64 is: 16,561.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,432.16 : 29,577.60 = 12,000.64 : x
  2. Step 2: Convert to fraction form
    21,432.16/29,577.60 = 12,000.64/x
  3. Step 3: Cross multiply
    21,432.16x = 29,577.60 × 12,000.64
  4. Step 4: Simplify right side
    21,432.16x = 354,950,129.66
  5. Step 5: Solve for x
    x = 354,950,129.66/21,432.16
  6. Step 6: Final answer
    x = 16,561.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.