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Finding the Fourth Proportional to 21,771.18, 32,642.19 and 10,078.02

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Solution

The fourth proportional to 21,771.18, 32,642.19 and 10,078.02 is: 15,110.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,771.18 : 32,642.19 = 10,078.02 : x
  2. Step 2: Convert to fraction form
    21,771.18/32,642.19 = 10,078.02/x
  3. Step 3: Cross multiply
    21,771.18x = 32,642.19 × 10,078.02
  4. Step 4: Simplify right side
    21,771.18x = 328,968,643.66
  5. Step 5: Solve for x
    x = 328,968,643.66/21,771.18
  6. Step 6: Final answer
    x = 15,110.28

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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.