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Finding the Fourth Proportional to 28,225.64, 42,341.29 and 7,449.14

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Solution

The fourth proportional to 28,225.64, 42,341.29 and 7,449.14 is: 11,174.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,225.64 : 42,341.29 = 7,449.14 : x
  2. Step 2: Convert to fraction form
    28,225.64/42,341.29 = 7,449.14/x
  3. Step 3: Cross multiply
    28,225.64x = 42,341.29 × 7,449.14
  4. Step 4: Simplify right side
    28,225.64x = 315,405,966.66
  5. Step 5: Solve for x
    x = 315,405,966.66/28,225.64
  6. Step 6: Final answer
    x = 11,174.45

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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.