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Finding the Fourth Proportional to 22,898.98, 31,602.18 and 12,828.28

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Solution

The fourth proportional to 22,898.98, 31,602.18 and 12,828.28 is: 17,703.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,898.98 : 31,602.18 = 12,828.28 : x
  2. Step 2: Convert to fraction form
    22,898.98/31,602.18 = 12,828.28/x
  3. Step 3: Cross multiply
    22,898.98x = 31,602.18 × 12,828.28
  4. Step 4: Simplify right side
    22,898.98x = 405,401,613.65
  5. Step 5: Solve for x
    x = 405,401,613.65/22,898.98
  6. Step 6: Final answer
    x = 17,703.92

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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.