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Finding the Fourth Proportional to 24,597.42, 36,830.52 and 12,886.08

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Solution

The fourth proportional to 24,597.42, 36,830.52 and 12,886.08 is: 19,294.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,597.42 : 36,830.52 = 12,886.08 : x
  2. Step 2: Convert to fraction form
    24,597.42/36,830.52 = 12,886.08/x
  3. Step 3: Cross multiply
    24,597.42x = 36,830.52 × 12,886.08
  4. Step 4: Simplify right side
    24,597.42x = 474,601,027.16
  5. Step 5: Solve for x
    x = 474,601,027.16/24,597.42
  6. Step 6: Final answer
    x = 19,294.75

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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.