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Finding the Fourth Proportional to 23,322.76, 32,184.46 and 12,712.16

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Solution

The fourth proportional to 23,322.76, 32,184.46 and 12,712.16 is: 17,542.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,322.76 : 32,184.46 = 12,712.16 : x
  2. Step 2: Convert to fraction form
    23,322.76/32,184.46 = 12,712.16/x
  3. Step 3: Cross multiply
    23,322.76x = 32,184.46 × 12,712.16
  4. Step 4: Simplify right side
    23,322.76x = 409,134,005.03
  5. Step 5: Solve for x
    x = 409,134,005.03/23,322.76
  6. Step 6: Final answer
    x = 17,542.26

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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.