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Finding the Fourth Proportional to 21,607.13, 32,416.16 and 6,024.75

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Solution

The fourth proportional to 21,607.13, 32,416.16 and 6,024.75 is: 9,038.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,607.13 : 32,416.16 = 6,024.75 : x
  2. Step 2: Convert to fraction form
    21,607.13/32,416.16 = 6,024.75/x
  3. Step 3: Cross multiply
    21,607.13x = 32,416.16 × 6,024.75
  4. Step 4: Simplify right side
    21,607.13x = 195,299,229.84
  5. Step 5: Solve for x
    x = 195,299,229.84/21,607.13
  6. Step 6: Final answer
    x = 9,038.65

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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.