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Finding the Fourth Proportional to 23,533.32, 35,306.88 and 9,486.13

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Solution

The fourth proportional to 23,533.32, 35,306.88 and 9,486.13 is: 14,231.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,533.32 : 35,306.88 = 9,486.13 : x
  2. Step 2: Convert to fraction form
    23,533.32/35,306.88 = 9,486.13/x
  3. Step 3: Cross multiply
    23,533.32x = 35,306.88 × 9,486.13
  4. Step 4: Simplify right side
    23,533.32x = 334,925,653.57
  5. Step 5: Solve for x
    x = 334,925,653.57/23,533.32
  6. Step 6: Final answer
    x = 14,231.98

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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.