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Finding the Fourth Proportional to 26,830.52, 40,246.88 and 12,783.32

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Solution

The fourth proportional to 26,830.52, 40,246.88 and 12,783.32 is: 19,175.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,830.52 : 40,246.88 = 12,783.32 : x
  2. Step 2: Convert to fraction form
    26,830.52/40,246.88 = 12,783.32/x
  3. Step 3: Cross multiply
    26,830.52x = 40,246.88 × 12,783.32
  4. Step 4: Simplify right side
    26,830.52x = 514,488,746.04
  5. Step 5: Solve for x
    x = 514,488,746.04/26,830.52
  6. Step 6: Final answer
    x = 19,175.50

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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.