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Finding the Fourth Proportional to 23,207.95, 32,027 and 12,597.59

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Solution

The fourth proportional to 23,207.95, 32,027 and 12,597.59 is: 17,384.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,207.95 : 32,027 = 12,597.59 : x
  2. Step 2: Convert to fraction form
    23,207.95/32,027 = 12,597.59/x
  3. Step 3: Cross multiply
    23,207.95x = 32,027 × 12,597.59
  4. Step 4: Simplify right side
    23,207.95x = 403,462,934.86
  5. Step 5: Solve for x
    x = 403,462,934.86/23,207.95
  6. Step 6: Final answer
    x = 17,384.69

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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.