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Finding the Fourth Proportional to 22,864, 31,552.32 and 14,032

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Solution

The fourth proportional to 22,864, 31,552.32 and 14,032 is: 19,364.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,864 : 31,552.32 = 14,032 : x
  2. Step 2: Convert to fraction form
    22,864/31,552.32 = 14,032/x
  3. Step 3: Cross multiply
    22,864x = 31,552.32 × 14,032
  4. Step 4: Simplify right side
    22,864x = 442,742,154.24
  5. Step 5: Solve for x
    x = 442,742,154.24/22,864
  6. Step 6: Final answer
    x = 19,364.16

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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.