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Finding the Fourth Proportional to 23,055.64, 31,816.46 and 12,985.08

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Solution

The fourth proportional to 23,055.64, 31,816.46 and 12,985.08 is: 17,919.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,055.64 : 31,816.46 = 12,985.08 : x
  2. Step 2: Convert to fraction form
    23,055.64/31,816.46 = 12,985.08/x
  3. Step 3: Cross multiply
    23,055.64x = 31,816.46 × 12,985.08
  4. Step 4: Simplify right side
    23,055.64x = 413,139,191.57
  5. Step 5: Solve for x
    x = 413,139,191.57/23,055.64
  6. Step 6: Final answer
    x = 17,919.23

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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.