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Finding the Fourth Proportional to 14,244.24, 19,656.68 and 7,871.34

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Solution

The fourth proportional to 14,244.24, 19,656.68 and 7,871.34 is: 10,862.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,244.24 : 19,656.68 = 7,871.34 : x
  2. Step 2: Convert to fraction form
    14,244.24/19,656.68 = 7,871.34/x
  3. Step 3: Cross multiply
    14,244.24x = 19,656.68 × 7,871.34
  4. Step 4: Simplify right side
    14,244.24x = 154,724,411.55
  5. Step 5: Solve for x
    x = 154,724,411.55/14,244.24
  6. Step 6: Final answer
    x = 10,862.24

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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.