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Finding the Fourth Proportional to 12,751.69, 19,130.62 and 4,430.50

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Solution

The fourth proportional to 12,751.69, 19,130.62 and 4,430.50 is: 6,646.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,751.69 : 19,130.62 = 4,430.50 : x
  2. Step 2: Convert to fraction form
    12,751.69/19,130.62 = 4,430.50/x
  3. Step 3: Cross multiply
    12,751.69x = 19,130.62 × 4,430.50
  4. Step 4: Simplify right side
    12,751.69x = 84,758,211.91
  5. Step 5: Solve for x
    x = 84,758,211.91/12,751.69
  6. Step 6: Final answer
    x = 6,646.82

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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.