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Finding the Fourth Proportional to 21,425.32, 32,142.48 and 7,386.64

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Solution

The fourth proportional to 21,425.32, 32,142.48 and 7,386.64 is: 11,081.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,425.32 : 32,142.48 = 7,386.64 : x
  2. Step 2: Convert to fraction form
    21,425.32/32,142.48 = 7,386.64/x
  3. Step 3: Cross multiply
    21,425.32x = 32,142.48 × 7,386.64
  4. Step 4: Simplify right side
    21,425.32x = 237,424,928.47
  5. Step 5: Solve for x
    x = 237,424,928.47/21,425.32
  6. Step 6: Final answer
    x = 11,081.51

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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.