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Finding the Fourth Proportional to 21,366, 32,053.12 and 6,572.28

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Solution

The fourth proportional to 21,366, 32,053.12 and 6,572.28 is: 9,859.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,366 : 32,053.12 = 6,572.28 : x
  2. Step 2: Convert to fraction form
    21,366/32,053.12 = 6,572.28/x
  3. Step 3: Cross multiply
    21,366x = 32,053.12 × 6,572.28
  4. Step 4: Simplify right side
    21,366x = 210,662,079.51
  5. Step 5: Solve for x
    x = 210,662,079.51/21,366
  6. Step 6: Final answer
    x = 9,859.69

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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.