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Finding the Fourth Proportional to 22,501.64, 31,045.46 and 13,068.38

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Solution

The fourth proportional to 22,501.64, 31,045.46 and 13,068.38 is: 18,030.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,501.64 : 31,045.46 = 13,068.38 : x
  2. Step 2: Convert to fraction form
    22,501.64/31,045.46 = 13,068.38/x
  3. Step 3: Cross multiply
    22,501.64x = 31,045.46 × 13,068.38
  4. Step 4: Simplify right side
    22,501.64x = 405,713,868.55
  5. Step 5: Solve for x
    x = 405,713,868.55/22,501.64
  6. Step 6: Final answer
    x = 18,030.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.