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Finding the Fourth Proportional to 12,035.32, 18,053.10 and 4,642.18

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Solution

The fourth proportional to 12,035.32, 18,053.10 and 4,642.18 is: 6,963.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,035.32 : 18,053.10 = 4,642.18 : x
  2. Step 2: Convert to fraction form
    12,035.32/18,053.10 = 4,642.18/x
  3. Step 3: Cross multiply
    12,035.32x = 18,053.10 × 4,642.18
  4. Step 4: Simplify right side
    12,035.32x = 83,805,739.76
  5. Step 5: Solve for x
    x = 83,805,739.76/12,035.32
  6. Step 6: Final answer
    x = 6,963.32

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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.