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Finding the Fourth Proportional to 12,877.64, 19,316.09 and 4,113.08

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Solution

The fourth proportional to 12,877.64, 19,316.09 and 4,113.08 is: 6,169.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,877.64 : 19,316.09 = 4,113.08 : x
  2. Step 2: Convert to fraction form
    12,877.64/19,316.09 = 4,113.08/x
  3. Step 3: Cross multiply
    12,877.64x = 19,316.09 × 4,113.08
  4. Step 4: Simplify right side
    12,877.64x = 79,448,537.16
  5. Step 5: Solve for x
    x = 79,448,537.16/12,877.64
  6. Step 6: Final answer
    x = 6,169.50

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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.