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Finding the Fourth Proportional to 21,542.72, 32,316.40 and 9,064.02

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Solution

The fourth proportional to 21,542.72, 32,316.40 and 9,064.02 is: 13,597.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,542.72 : 32,316.40 = 9,064.02 : x
  2. Step 2: Convert to fraction form
    21,542.72/32,316.40 = 9,064.02/x
  3. Step 3: Cross multiply
    21,542.72x = 32,316.40 × 9,064.02
  4. Step 4: Simplify right side
    21,542.72x = 292,916,495.93
  5. Step 5: Solve for x
    x = 292,916,495.93/21,542.72
  6. Step 6: Final answer
    x = 13,597.01

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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.