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Finding the Fourth Proportional to 23,710.32, 35,580.06 and 13,188.42

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Solution

The fourth proportional to 23,710.32, 35,580.06 and 13,188.42 is: 19,790.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,710.32 : 35,580.06 = 13,188.42 : x
  2. Step 2: Convert to fraction form
    23,710.32/35,580.06 = 13,188.42/x
  3. Step 3: Cross multiply
    23,710.32x = 35,580.06 × 13,188.42
  4. Step 4: Simplify right side
    23,710.32x = 469,244,774.91
  5. Step 5: Solve for x
    x = 469,244,774.91/23,710.32
  6. Step 6: Final answer
    x = 19,790.74

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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.