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Finding the Fourth Proportional to 19,464, 26,860.32 and 12,016.32

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Solution

The fourth proportional to 19,464, 26,860.32 and 12,016.32 is: 16,582.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,464 : 26,860.32 = 12,016.32 : x
  2. Step 2: Convert to fraction form
    19,464/26,860.32 = 12,016.32/x
  3. Step 3: Cross multiply
    19,464x = 26,860.32 × 12,016.32
  4. Step 4: Simplify right side
    19,464x = 322,762,200.42
  5. Step 5: Solve for x
    x = 322,762,200.42/19,464
  6. Step 6: Final answer
    x = 16,582.52

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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.