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Finding the Fourth Proportional to 23,636.40, 35,454.60 and 9,785.40

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Solution

The fourth proportional to 23,636.40, 35,454.60 and 9,785.40 is: 14,678.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,636.40 : 35,454.60 = 9,785.40 : x
  2. Step 2: Convert to fraction form
    23,636.40/35,454.60 = 9,785.40/x
  3. Step 3: Cross multiply
    23,636.40x = 35,454.60 × 9,785.40
  4. Step 4: Simplify right side
    23,636.40x = 346,937,442.84
  5. Step 5: Solve for x
    x = 346,937,442.84/23,636.40
  6. Step 6: Final answer
    x = 14,678.10

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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.