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Finding the Fourth Proportional to 15,723, 21,688.24 and 9,674.28

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Solution

The fourth proportional to 15,723, 21,688.24 and 9,674.28 is: 13,344.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,723 : 21,688.24 = 9,674.28 : x
  2. Step 2: Convert to fraction form
    15,723/21,688.24 = 9,674.28/x
  3. Step 3: Cross multiply
    15,723x = 21,688.24 × 9,674.28
  4. Step 4: Simplify right side
    15,723x = 209,818,106.47
  5. Step 5: Solve for x
    x = 209,818,106.47/15,723
  6. Step 6: Final answer
    x = 13,344.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.