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Finding the Fourth Proportional to 19,737.55, 29,618 and 7,266.34

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Solution

The fourth proportional to 19,737.55, 29,618 and 7,266.34 is: 10,903.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,737.55 : 29,618 = 7,266.34 : x
  2. Step 2: Convert to fraction form
    19,737.55/29,618 = 7,266.34/x
  3. Step 3: Cross multiply
    19,737.55x = 29,618 × 7,266.34
  4. Step 4: Simplify right side
    19,737.55x = 215,214,458.12
  5. Step 5: Solve for x
    x = 215,214,458.12/19,737.55
  6. Step 6: Final answer
    x = 10,903.81

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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.