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Finding the Fourth Proportional to 21,697.12, 32,557.74 and 15,693.40

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Solution

The fourth proportional to 21,697.12, 32,557.74 and 15,693.40 is: 23,548.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,697.12 : 32,557.74 = 15,693.40 : x
  2. Step 2: Convert to fraction form
    21,697.12/32,557.74 = 15,693.40/x
  3. Step 3: Cross multiply
    21,697.12x = 32,557.74 × 15,693.40
  4. Step 4: Simplify right side
    21,697.12x = 510,941,636.92
  5. Step 5: Solve for x
    x = 510,941,636.92/21,697.12
  6. Step 6: Final answer
    x = 23,548.82

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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.