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Finding the Fourth Proportional to 23,870.65, 35,807.80 and 7,232.06

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Solution

The fourth proportional to 23,870.65, 35,807.80 and 7,232.06 is: 10,848.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,870.65 : 35,807.80 = 7,232.06 : x
  2. Step 2: Convert to fraction form
    23,870.65/35,807.80 = 7,232.06/x
  3. Step 3: Cross multiply
    23,870.65x = 35,807.80 × 7,232.06
  4. Step 4: Simplify right side
    23,870.65x = 258,964,122.02
  5. Step 5: Solve for x
    x = 258,964,122.02/23,870.65
  6. Step 6: Final answer
    x = 10,848.64

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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.