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Finding the Fourth Proportional to 23,157.80, 31,957.70 and 12,547.46

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Solution

The fourth proportional to 23,157.80, 31,957.70 and 12,547.46 is: 17,315.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,157.80 : 31,957.70 = 12,547.46 : x
  2. Step 2: Convert to fraction form
    23,157.80/31,957.70 = 12,547.46/x
  3. Step 3: Cross multiply
    23,157.80x = 31,957.70 × 12,547.46
  4. Step 4: Simplify right side
    23,157.80x = 400,987,739.92
  5. Step 5: Solve for x
    x = 400,987,739.92/23,157.80
  6. Step 6: Final answer
    x = 17,315.45

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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.