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Finding the Fourth Proportional to 26,304, 39,473.28 and 9,888

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Solution

The fourth proportional to 26,304, 39,473.28 and 9,888 is: 14,838.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,304 : 39,473.28 = 9,888 : x
  2. Step 2: Convert to fraction form
    26,304/39,473.28 = 9,888/x
  3. Step 3: Cross multiply
    26,304x = 39,473.28 × 9,888
  4. Step 4: Simplify right side
    26,304x = 390,311,792.64
  5. Step 5: Solve for x
    x = 390,311,792.64/26,304
  6. Step 6: Final answer
    x = 14,838.50

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Why These Related Problems?

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