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Finding the Fourth Proportional to 13,877.76, 19,150.92 and 7,590

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Solution

The fourth proportional to 13,877.76, 19,150.92 and 7,590 is: 10,473.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877.76 : 19,150.92 = 7,590 : x
  2. Step 2: Convert to fraction form
    13,877.76/19,150.92 = 7,590/x
  3. Step 3: Cross multiply
    13,877.76x = 19,150.92 × 7,590
  4. Step 4: Simplify right side
    13,877.76x = 145,355,482.80
  5. Step 5: Solve for x
    x = 145,355,482.80/13,877.76
  6. Step 6: Final answer
    x = 10,473.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.