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Finding the Fourth Proportional to 24,364.60, 36,546.90 and 6,837.40

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Solution

The fourth proportional to 24,364.60, 36,546.90 and 6,837.40 is: 10,256.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,364.60 : 36,546.90 = 6,837.40 : x
  2. Step 2: Convert to fraction form
    24,364.60/36,546.90 = 6,837.40/x
  3. Step 3: Cross multiply
    24,364.60x = 36,546.90 × 6,837.40
  4. Step 4: Simplify right side
    24,364.60x = 249,885,774.06
  5. Step 5: Solve for x
    x = 249,885,774.06/24,364.60
  6. Step 6: Final answer
    x = 10,256.10

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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.