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Finding the Fourth Proportional to 15,700.16, 23,550.24 and 6,944

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Solution

The fourth proportional to 15,700.16, 23,550.24 and 6,944 is: 10,416

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,700.16 : 23,550.24 = 6,944 : x
  2. Step 2: Convert to fraction form
    15,700.16/23,550.24 = 6,944/x
  3. Step 3: Cross multiply
    15,700.16x = 23,550.24 × 6,944
  4. Step 4: Simplify right side
    15,700.16x = 163,532,866.56
  5. Step 5: Solve for x
    x = 163,532,866.56/15,700.16
  6. Step 6: Final answer
    x = 10,416

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