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Finding the Fourth Proportional to 19,697.12, 29,547.51 and 7,848.03

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Solution

The fourth proportional to 19,697.12, 29,547.51 and 7,848.03 is: 11,772.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,697.12 : 29,547.51 = 7,848.03 : x
  2. Step 2: Convert to fraction form
    19,697.12/29,547.51 = 7,848.03/x
  3. Step 3: Cross multiply
    19,697.12x = 29,547.51 × 7,848.03
  4. Step 4: Simplify right side
    19,697.12x = 231,889,870.42
  5. Step 5: Solve for x
    x = 231,889,870.42/19,697.12
  6. Step 6: Final answer
    x = 11,772.78

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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.