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Finding the Fourth Proportional to 21,407.80, 32,114.10 and 6,616.60

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Solution

The fourth proportional to 21,407.80, 32,114.10 and 6,616.60 is: 9,925.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,407.80 : 32,114.10 = 6,616.60 : x
  2. Step 2: Convert to fraction form
    21,407.80/32,114.10 = 6,616.60/x
  3. Step 3: Cross multiply
    21,407.80x = 32,114.10 × 6,616.60
  4. Step 4: Simplify right side
    21,407.80x = 212,486,154.06
  5. Step 5: Solve for x
    x = 212,486,154.06/21,407.80
  6. Step 6: Final answer
    x = 9,925.64

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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.