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Finding the Fourth Proportional to 23,643.34, 32,627.80 and 12,888.22

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Solution

The fourth proportional to 23,643.34, 32,627.80 and 12,888.22 is: 17,785.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,643.34 : 32,627.80 = 12,888.22 : x
  2. Step 2: Convert to fraction form
    23,643.34/32,627.80 = 12,888.22/x
  3. Step 3: Cross multiply
    23,643.34x = 32,627.80 × 12,888.22
  4. Step 4: Simplify right side
    23,643.34x = 420,514,264.52
  5. Step 5: Solve for x
    x = 420,514,264.52/23,643.34
  6. Step 6: Final answer
    x = 17,785.74

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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.