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Finding the Fourth Proportional to 22,596.72, 31,182.98 and 12,525.08

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Solution

The fourth proportional to 22,596.72, 31,182.98 and 12,525.08 is: 17,284.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,596.72 : 31,182.98 = 12,525.08 : x
  2. Step 2: Convert to fraction form
    22,596.72/31,182.98 = 12,525.08/x
  3. Step 3: Cross multiply
    22,596.72x = 31,182.98 × 12,525.08
  4. Step 4: Simplify right side
    22,596.72x = 390,569,319.14
  5. Step 5: Solve for x
    x = 390,569,319.14/22,596.72
  6. Step 6: Final answer
    x = 17,284.34

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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.