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Finding the Fourth Proportional to 14,575.16, 21,848.87 and 9,295.34

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Solution

The fourth proportional to 14,575.16, 21,848.87 and 9,295.34 is: 13,934.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,575.16 : 21,848.87 = 9,295.34 : x
  2. Step 2: Convert to fraction form
    14,575.16/21,848.87 = 9,295.34/x
  3. Step 3: Cross multiply
    14,575.16x = 21,848.87 × 9,295.34
  4. Step 4: Simplify right side
    14,575.16x = 203,092,519.54
  5. Step 5: Solve for x
    x = 203,092,519.54/14,575.16
  6. Step 6: Final answer
    x = 13,934.16

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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.