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Finding the Fourth Proportional to 14,306.87, 19,734.76 and 9,461.59

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Solution

The fourth proportional to 14,306.87, 19,734.76 and 9,461.59 is: 13,051.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,306.87 : 19,734.76 = 9,461.59 : x
  2. Step 2: Convert to fraction form
    14,306.87/19,734.76 = 9,461.59/x
  3. Step 3: Cross multiply
    14,306.87x = 19,734.76 × 9,461.59
  4. Step 4: Simplify right side
    14,306.87x = 186,722,207.87
  5. Step 5: Solve for x
    x = 186,722,207.87/14,306.87
  6. Step 6: Final answer
    x = 13,051.23

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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.