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Finding the Fourth Proportional to 21,548.61, 32,299.02 and 9,064.98

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Solution

The fourth proportional to 21,548.61, 32,299.02 and 9,064.98 is: 13,587.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,548.61 : 32,299.02 = 9,064.98 : x
  2. Step 2: Convert to fraction form
    21,548.61/32,299.02 = 9,064.98/x
  3. Step 3: Cross multiply
    21,548.61x = 32,299.02 × 9,064.98
  4. Step 4: Simplify right side
    21,548.61x = 292,789,970.32
  5. Step 5: Solve for x
    x = 292,789,970.32/21,548.61
  6. Step 6: Final answer
    x = 13,587.42

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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.