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Finding the Fourth Proportional to 13,838.64, 20,740.14 and 5,063.10

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Solution

The fourth proportional to 13,838.64, 20,740.14 and 5,063.10 is: 7,588.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.64 : 20,740.14 = 5,063.10 : x
  2. Step 2: Convert to fraction form
    13,838.64/20,740.14 = 5,063.10/x
  3. Step 3: Cross multiply
    13,838.64x = 20,740.14 × 5,063.10
  4. Step 4: Simplify right side
    13,838.64x = 105,009,402.83
  5. Step 5: Solve for x
    x = 105,009,402.83/13,838.64
  6. Step 6: Final answer
    x = 7,588.13

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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.