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Finding the Fourth Proportional to 17,656.40, 24,364.95 and 9,698.42

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Solution

The fourth proportional to 17,656.40, 24,364.95 and 9,698.42 is: 13,383.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,656.40 : 24,364.95 = 9,698.42 : x
  2. Step 2: Convert to fraction form
    17,656.40/24,364.95 = 9,698.42/x
  3. Step 3: Cross multiply
    17,656.40x = 24,364.95 × 9,698.42
  4. Step 4: Simplify right side
    17,656.40x = 236,301,518.38
  5. Step 5: Solve for x
    x = 236,301,518.38/17,656.40
  6. Step 6: Final answer
    x = 13,383.34

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1.5x scale

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.