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Finding the Fourth Proportional to 17,509, 24,154.08 and 11,845.72

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Solution

The fourth proportional to 17,509, 24,154.08 and 11,845.72 is: 16,341.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,509 : 24,154.08 = 11,845.72 : x
  2. Step 2: Convert to fraction form
    17,509/24,154.08 = 11,845.72/x
  3. Step 3: Cross multiply
    17,509x = 24,154.08 × 11,845.72
  4. Step 4: Simplify right side
    17,509x = 286,122,468.54
  5. Step 5: Solve for x
    x = 286,122,468.54/17,509
  6. Step 6: Final answer
    x = 16,341.45

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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.