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Finding the Fourth Proportional to 21,025.62, 31,534.47 and 7,875.18

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Solution

The fourth proportional to 21,025.62, 31,534.47 and 7,875.18 is: 11,811.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,025.62 : 31,534.47 = 7,875.18 : x
  2. Step 2: Convert to fraction form
    21,025.62/31,534.47 = 7,875.18/x
  3. Step 3: Cross multiply
    21,025.62x = 31,534.47 × 7,875.18
  4. Step 4: Simplify right side
    21,025.62x = 248,339,627.45
  5. Step 5: Solve for x
    x = 248,339,627.45/21,025.62
  6. Step 6: Final answer
    x = 11,811.29

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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.