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Finding the Fourth Proportional to 28,564.01, 42,851.28 and 9,586.77

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Solution

The fourth proportional to 28,564.01, 42,851.28 and 9,586.77 is: 14,381.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,564.01 : 42,851.28 = 9,586.77 : x
  2. Step 2: Convert to fraction form
    28,564.01/42,851.28 = 9,586.77/x
  3. Step 3: Cross multiply
    28,564.01x = 42,851.28 × 9,586.77
  4. Step 4: Simplify right side
    28,564.01x = 410,805,365.57
  5. Step 5: Solve for x
    x = 410,805,365.57/28,564.01
  6. Step 6: Final answer
    x = 14,381.92

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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.