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Finding the Fourth Proportional to 21,534.88, 32,307.60 and 9,055.84

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Solution

The fourth proportional to 21,534.88, 32,307.60 and 9,055.84 is: 13,585.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,534.88 : 32,307.60 = 9,055.84 : x
  2. Step 2: Convert to fraction form
    21,534.88/32,307.60 = 9,055.84/x
  3. Step 3: Cross multiply
    21,534.88x = 32,307.60 × 9,055.84
  4. Step 4: Simplify right side
    21,534.88x = 292,572,456.38
  5. Step 5: Solve for x
    x = 292,572,456.38/21,534.88
  6. Step 6: Final answer
    x = 13,585.98

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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.