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Finding the Fourth Proportional to 23,547.42, 32,498.55 and 15,188.22

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Solution

The fourth proportional to 23,547.42, 32,498.55 and 15,188.22 is: 20,961.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,547.42 : 32,498.55 = 15,188.22 : x
  2. Step 2: Convert to fraction form
    23,547.42/32,498.55 = 15,188.22/x
  3. Step 3: Cross multiply
    23,547.42x = 32,498.55 × 15,188.22
  4. Step 4: Simplify right side
    23,547.42x = 493,595,127.08
  5. Step 5: Solve for x
    x = 493,595,127.08/23,547.42
  6. Step 6: Final answer
    x = 20,961.75

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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.