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Finding the Fourth Proportional to 14,156.56, 19,537.14 and 7,869.34

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Solution

The fourth proportional to 14,156.56, 19,537.14 and 7,869.34 is: 10,860.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,156.56 : 19,537.14 = 7,869.34 : x
  2. Step 2: Convert to fraction form
    14,156.56/19,537.14 = 7,869.34/x
  3. Step 3: Cross multiply
    14,156.56x = 19,537.14 × 7,869.34
  4. Step 4: Simplify right side
    14,156.56x = 153,744,397.29
  5. Step 5: Solve for x
    x = 153,744,397.29/14,156.56
  6. Step 6: Final answer
    x = 10,860.29

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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.