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Finding the Fourth Proportional to 14,444.34, 21,631.88 and 7,854.18

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Solution

The fourth proportional to 14,444.34, 21,631.88 and 7,854.18 is: 11,762.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,444.34 : 21,631.88 = 7,854.18 : x
  2. Step 2: Convert to fraction form
    14,444.34/21,631.88 = 7,854.18/x
  3. Step 3: Cross multiply
    14,444.34x = 21,631.88 × 7,854.18
  4. Step 4: Simplify right side
    14,444.34x = 169,900,679.26
  5. Step 5: Solve for x
    x = 169,900,679.26/14,444.34
  6. Step 6: Final answer
    x = 11,762.44

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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.