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Finding the Fourth Proportional to 12,737.19, 19,085.02 and 7,796.46

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Solution

The fourth proportional to 12,737.19, 19,085.02 and 7,796.46 is: 11,681.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,737.19 : 19,085.02 = 7,796.46 : x
  2. Step 2: Convert to fraction form
    12,737.19/19,085.02 = 7,796.46/x
  3. Step 3: Cross multiply
    12,737.19x = 19,085.02 × 7,796.46
  4. Step 4: Simplify right side
    12,737.19x = 148,795,595.03
  5. Step 5: Solve for x
    x = 148,795,595.03/12,737.19
  6. Step 6: Final answer
    x = 11,681.98

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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.