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Finding the Fourth Proportional to 23,317.60, 32,178.16 and 12,707.16

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Solution

The fourth proportional to 23,317.60, 32,178.16 and 12,707.16 is: 17,535.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,317.60 : 32,178.16 = 12,707.16 : x
  2. Step 2: Convert to fraction form
    23,317.60/32,178.16 = 12,707.16/x
  3. Step 3: Cross multiply
    23,317.60x = 32,178.16 × 12,707.16
  4. Step 4: Simplify right side
    23,317.60x = 408,893,027.63
  5. Step 5: Solve for x
    x = 408,893,027.63/23,317.60
  6. Step 6: Final answer
    x = 17,535.81

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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.