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Finding the Fourth Proportional to 23,705.76, 32,713.62 and 13,095.60

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Solution

The fourth proportional to 23,705.76, 32,713.62 and 13,095.60 is: 18,071.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,705.76 : 32,713.62 = 13,095.60 : x
  2. Step 2: Convert to fraction form
    23,705.76/32,713.62 = 13,095.60/x
  3. Step 3: Cross multiply
    23,705.76x = 32,713.62 × 13,095.60
  4. Step 4: Simplify right side
    23,705.76x = 428,404,482.07
  5. Step 5: Solve for x
    x = 428,404,482.07/23,705.76
  6. Step 6: Final answer
    x = 18,071.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.