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Finding the Fourth Proportional to 19,248.16, 26,564.64 and 10,864

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Solution

The fourth proportional to 19,248.16, 26,564.64 and 10,864 is: 14,993.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,248.16 : 26,564.64 = 10,864 : x
  2. Step 2: Convert to fraction form
    19,248.16/26,564.64 = 10,864/x
  3. Step 3: Cross multiply
    19,248.16x = 26,564.64 × 10,864
  4. Step 4: Simplify right side
    19,248.16x = 288,598,248.96
  5. Step 5: Solve for x
    x = 288,598,248.96/19,248.16
  6. Step 6: Final answer
    x = 14,993.55

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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.