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Finding the Fourth Proportional to 14,657.40, 21,973.14 and 6,864.12

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Solution

The fourth proportional to 14,657.40, 21,973.14 and 6,864.12 is: 10,290.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657.40 : 21,973.14 = 6,864.12 : x
  2. Step 2: Convert to fraction form
    14,657.40/21,973.14 = 6,864.12/x
  3. Step 3: Cross multiply
    14,657.40x = 21,973.14 × 6,864.12
  4. Step 4: Simplify right side
    14,657.40x = 150,826,269.74
  5. Step 5: Solve for x
    x = 150,826,269.74/14,657.40
  6. Step 6: Final answer
    x = 10,290.11

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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.