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Finding the Fourth Proportional to 22,095.16, 33,126.54 and 10,402

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Solution

The fourth proportional to 22,095.16, 33,126.54 and 10,402 is: 15,595.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,095.16 : 33,126.54 = 10,402 : x
  2. Step 2: Convert to fraction form
    22,095.16/33,126.54 = 10,402/x
  3. Step 3: Cross multiply
    22,095.16x = 33,126.54 × 10,402
  4. Step 4: Simplify right side
    22,095.16x = 344,582,269.08
  5. Step 5: Solve for x
    x = 344,582,269.08/22,095.16
  6. Step 6: Final answer
    x = 15,595.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.