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Finding the Fourth Proportional to 15,521.56, 21,418.50 and 10,816

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Solution

The fourth proportional to 15,521.56, 21,418.50 and 10,816 is: 14,925.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,521.56 : 21,418.50 = 10,816 : x
  2. Step 2: Convert to fraction form
    15,521.56/21,418.50 = 10,816/x
  3. Step 3: Cross multiply
    15,521.56x = 21,418.50 × 10,816
  4. Step 4: Simplify right side
    15,521.56x = 231,662,496
  5. Step 5: Solve for x
    x = 231,662,496/15,521.56
  6. Step 6: Final answer
    x = 14,925.21

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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.