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Finding the Fourth Proportional to 14,827.74, 22,244.13 and 7,430.82

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Solution

The fourth proportional to 14,827.74, 22,244.13 and 7,430.82 is: 11,147.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,827.74 : 22,244.13 = 7,430.82 : x
  2. Step 2: Convert to fraction form
    14,827.74/22,244.13 = 7,430.82/x
  3. Step 3: Cross multiply
    14,827.74x = 22,244.13 × 7,430.82
  4. Step 4: Simplify right side
    14,827.74x = 165,292,126.09
  5. Step 5: Solve for x
    x = 165,292,126.09/14,827.74
  6. Step 6: Final answer
    x = 11,147.49

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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.