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Finding the Fourth Proportional to 15,984, 22,071.42 and 10,025.64

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Solution

The fourth proportional to 15,984, 22,071.42 and 10,025.64 is: 13,843.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,984 : 22,071.42 = 10,025.64 : x
  2. Step 2: Convert to fraction form
    15,984/22,071.42 = 10,025.64/x
  3. Step 3: Cross multiply
    15,984x = 22,071.42 × 10,025.64
  4. Step 4: Simplify right side
    15,984x = 221,280,111.21
  5. Step 5: Solve for x
    x = 221,280,111.21/15,984
  6. Step 6: Final answer
    x = 13,843.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.