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Finding the Fourth Proportional to 21,390.40, 32,085.60 and 9,102.40

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Solution

The fourth proportional to 21,390.40, 32,085.60 and 9,102.40 is: 13,653.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,390.40 : 32,085.60 = 9,102.40 : x
  2. Step 2: Convert to fraction form
    21,390.40/32,085.60 = 9,102.40/x
  3. Step 3: Cross multiply
    21,390.40x = 32,085.60 × 9,102.40
  4. Step 4: Simplify right side
    21,390.40x = 292,055,965.44
  5. Step 5: Solve for x
    x = 292,055,965.44/21,390.40
  6. Step 6: Final answer
    x = 13,653.60

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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.