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Finding the Fourth Proportional to 13,019.10, 19,526.67 and 4,254

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Solution

The fourth proportional to 13,019.10, 19,526.67 and 4,254 is: 6,380.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.10 : 19,526.67 = 4,254 : x
  2. Step 2: Convert to fraction form
    13,019.10/19,526.67 = 4,254/x
  3. Step 3: Cross multiply
    13,019.10x = 19,526.67 × 4,254
  4. Step 4: Simplify right side
    13,019.10x = 83,066,454.18
  5. Step 5: Solve for x
    x = 83,066,454.18/13,019.10
  6. Step 6: Final answer
    x = 6,380.35

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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.