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Finding the Fourth Proportional to 21,701.73, 32,559.65 and 9,854.10

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Solution

The fourth proportional to 21,701.73, 32,559.65 and 9,854.10 is: 14,784.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,701.73 : 32,559.65 = 9,854.10 : x
  2. Step 2: Convert to fraction form
    21,701.73/32,559.65 = 9,854.10/x
  3. Step 3: Cross multiply
    21,701.73x = 32,559.65 × 9,854.10
  4. Step 4: Simplify right side
    21,701.73x = 320,846,071.70
  5. Step 5: Solve for x
    x = 320,846,071.70/21,701.73
  6. Step 6: Final answer
    x = 14,784.35

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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.