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Finding the Fourth Proportional to 17,448, 26,177.76 and 7,054.08

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Solution

The fourth proportional to 17,448, 26,177.76 and 7,054.08 is: 10,583.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,448 : 26,177.76 = 7,054.08 : x
  2. Step 2: Convert to fraction form
    17,448/26,177.76 = 7,054.08/x
  3. Step 3: Cross multiply
    17,448x = 26,177.76 × 7,054.08
  4. Step 4: Simplify right side
    17,448x = 184,660,013.26
  5. Step 5: Solve for x
    x = 184,660,013.26/17,448
  6. Step 6: Final answer
    x = 10,583.45

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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.