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Finding the Fourth Proportional to 12,830.50, 19,212.93 and 7,275.58

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Solution

The fourth proportional to 12,830.50, 19,212.93 and 7,275.58 is: 10,894.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.50 : 19,212.93 = 7,275.58 : x
  2. Step 2: Convert to fraction form
    12,830.50/19,212.93 = 7,275.58/x
  3. Step 3: Cross multiply
    12,830.50x = 19,212.93 × 7,275.58
  4. Step 4: Simplify right side
    12,830.50x = 139,785,209.25
  5. Step 5: Solve for x
    x = 139,785,209.25/12,830.50
  6. Step 6: Final answer
    x = 10,894.76

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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.