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Finding the Fourth Proportional to 23,690.15, 35,535.06 and 9,646.88

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Solution

The fourth proportional to 23,690.15, 35,535.06 and 9,646.88 is: 14,470.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,690.15 : 35,535.06 = 9,646.88 : x
  2. Step 2: Convert to fraction form
    23,690.15/35,535.06 = 9,646.88/x
  3. Step 3: Cross multiply
    23,690.15x = 35,535.06 × 9,646.88
  4. Step 4: Simplify right side
    23,690.15x = 342,802,459.61
  5. Step 5: Solve for x
    x = 342,802,459.61/23,690.15
  6. Step 6: Final answer
    x = 14,470.25

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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.