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Finding the Fourth Proportional to 12,861.90, 19,292.86 and 5,070.50

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Solution

The fourth proportional to 12,861.90, 19,292.86 and 5,070.50 is: 7,605.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,861.90 : 19,292.86 = 5,070.50 : x
  2. Step 2: Convert to fraction form
    12,861.90/19,292.86 = 5,070.50/x
  3. Step 3: Cross multiply
    12,861.90x = 19,292.86 × 5,070.50
  4. Step 4: Simplify right side
    12,861.90x = 97,824,446.63
  5. Step 5: Solve for x
    x = 97,824,446.63/12,861.90
  6. Step 6: Final answer
    x = 7,605.75

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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.