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Finding the Fourth Proportional to 17,290, 25,913.12 and 11,047.60

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Solution

The fourth proportional to 17,290, 25,913.12 and 11,047.60 is: 16,557.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,290 : 25,913.12 = 11,047.60 : x
  2. Step 2: Convert to fraction form
    17,290/25,913.12 = 11,047.60/x
  3. Step 3: Cross multiply
    17,290x = 25,913.12 × 11,047.60
  4. Step 4: Simplify right side
    17,290x = 286,277,784.51
  5. Step 5: Solve for x
    x = 286,277,784.51/17,290
  6. Step 6: Final answer
    x = 16,557.42

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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.