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Finding the Fourth Proportional to 23,680, 35,526.96 and 7,040.16

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Solution

The fourth proportional to 23,680, 35,526.96 and 7,040.16 is: 10,562.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,680 : 35,526.96 = 7,040.16 : x
  2. Step 2: Convert to fraction form
    23,680/35,526.96 = 7,040.16/x
  3. Step 3: Cross multiply
    23,680x = 35,526.96 × 7,040.16
  4. Step 4: Simplify right side
    23,680x = 250,115,482.71
  5. Step 5: Solve for x
    x = 250,115,482.71/23,680
  6. Step 6: Final answer
    x = 10,562.31

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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.