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Finding the Fourth Proportional to 22,833.48, 31,506.35 and 12,762.01

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Solution

The fourth proportional to 22,833.48, 31,506.35 and 12,762.01 is: 17,609.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,833.48 : 31,506.35 = 12,762.01 : x
  2. Step 2: Convert to fraction form
    22,833.48/31,506.35 = 12,762.01/x
  3. Step 3: Cross multiply
    22,833.48x = 31,506.35 × 12,762.01
  4. Step 4: Simplify right side
    22,833.48x = 402,084,306.90
  5. Step 5: Solve for x
    x = 402,084,306.90/22,833.48
  6. Step 6: Final answer
    x = 17,609.42

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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.