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Finding the Fourth Proportional to 23,597.76, 32,559.68 and 13,656

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Solution

The fourth proportional to 23,597.76, 32,559.68 and 13,656 is: 18,842.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,597.76 : 32,559.68 = 13,656 : x
  2. Step 2: Convert to fraction form
    23,597.76/32,559.68 = 13,656/x
  3. Step 3: Cross multiply
    23,597.76x = 32,559.68 × 13,656
  4. Step 4: Simplify right side
    23,597.76x = 444,634,990.08
  5. Step 5: Solve for x
    x = 444,634,990.08/23,597.76
  6. Step 6: Final answer
    x = 18,842.25

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Why These Related Problems?

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