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Finding the Fourth Proportional to 15,814.71, 21,826.47 and 9,100.20

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Solution

The fourth proportional to 15,814.71, 21,826.47 and 9,100.20 is: 12,559.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,814.71 : 21,826.47 = 9,100.20 : x
  2. Step 2: Convert to fraction form
    15,814.71/21,826.47 = 9,100.20/x
  3. Step 3: Cross multiply
    15,814.71x = 21,826.47 × 9,100.20
  4. Step 4: Simplify right side
    15,814.71x = 198,625,242.29
  5. Step 5: Solve for x
    x = 198,625,242.29/15,814.71
  6. Step 6: Final answer
    x = 12,559.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.