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Finding the Fourth Proportional to 14,689.71, 20,271.63 and 8,317.56

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Solution

The fourth proportional to 14,689.71, 20,271.63 and 8,317.56 is: 11,478.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,689.71 : 20,271.63 = 8,317.56 : x
  2. Step 2: Convert to fraction form
    14,689.71/20,271.63 = 8,317.56/x
  3. Step 3: Cross multiply
    14,689.71x = 20,271.63 × 8,317.56
  4. Step 4: Simplify right side
    14,689.71x = 168,610,498.82
  5. Step 5: Solve for x
    x = 168,610,498.82/14,689.71
  6. Step 6: Final answer
    x = 11,478.14

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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.