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Finding the Fourth Proportional to 14,290, 21,422.64 and 10,116.88

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Solution

The fourth proportional to 14,290, 21,422.64 and 10,116.88 is: 15,166.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,290 : 21,422.64 = 10,116.88 : x
  2. Step 2: Convert to fraction form
    14,290/21,422.64 = 10,116.88/x
  3. Step 3: Cross multiply
    14,290x = 21,422.64 × 10,116.88
  4. Step 4: Simplify right side
    14,290x = 216,730,278.16
  5. Step 5: Solve for x
    x = 216,730,278.16/14,290
  6. Step 6: Final answer
    x = 15,166.57

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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.