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Finding the Fourth Proportional to 21,706.60, 32,548.56 and 10,009.84

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Solution

The fourth proportional to 21,706.60, 32,548.56 and 10,009.84 is: 15,009.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,706.60 : 32,548.56 = 10,009.84 : x
  2. Step 2: Convert to fraction form
    21,706.60/32,548.56 = 10,009.84/x
  3. Step 3: Cross multiply
    21,706.60x = 32,548.56 × 10,009.84
  4. Step 4: Simplify right side
    21,706.60x = 325,805,877.83
  5. Step 5: Solve for x
    x = 325,805,877.83/21,706.60
  6. Step 6: Final answer
    x = 15,009.53

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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.