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Finding the Fourth Proportional to 12,703.32, 19,047.98 and 4,376.48

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Solution

The fourth proportional to 12,703.32, 19,047.98 and 4,376.48 is: 6,562.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,703.32 : 19,047.98 = 4,376.48 : x
  2. Step 2: Convert to fraction form
    12,703.32/19,047.98 = 4,376.48/x
  3. Step 3: Cross multiply
    12,703.32x = 19,047.98 × 4,376.48
  4. Step 4: Simplify right side
    12,703.32x = 83,363,019.21
  5. Step 5: Solve for x
    x = 83,363,019.21/12,703.32
  6. Step 6: Final answer
    x = 6,562.30

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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.