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Finding the Fourth Proportional to 16,570.18, 22,865.14 and 10,197.18

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Solution

The fourth proportional to 16,570.18, 22,865.14 and 10,197.18 is: 14,071.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,570.18 : 22,865.14 = 10,197.18 : x
  2. Step 2: Convert to fraction form
    16,570.18/22,865.14 = 10,197.18/x
  3. Step 3: Cross multiply
    16,570.18x = 22,865.14 × 10,197.18
  4. Step 4: Simplify right side
    16,570.18x = 233,159,948.31
  5. Step 5: Solve for x
    x = 233,159,948.31/16,570.18
  6. Step 6: Final answer
    x = 14,071.06

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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.