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Finding the Fourth Proportional to 14,461.29, 21,691.94 and 7,549.29

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Solution

The fourth proportional to 14,461.29, 21,691.94 and 7,549.29 is: 11,323.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,461.29 : 21,691.94 = 7,549.29 : x
  2. Step 2: Convert to fraction form
    14,461.29/21,691.94 = 7,549.29/x
  3. Step 3: Cross multiply
    14,461.29x = 21,691.94 × 7,549.29
  4. Step 4: Simplify right side
    14,461.29x = 163,758,707.98
  5. Step 5: Solve for x
    x = 163,758,707.98/14,461.29
  6. Step 6: Final answer
    x = 11,323.94

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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.