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Finding the Fourth Proportional to 12,953.90, 19,430.85 and 4,195.10

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Solution

The fourth proportional to 12,953.90, 19,430.85 and 4,195.10 is: 6,292.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,953.90 : 19,430.85 = 4,195.10 : x
  2. Step 2: Convert to fraction form
    12,953.90/19,430.85 = 4,195.10/x
  3. Step 3: Cross multiply
    12,953.90x = 19,430.85 × 4,195.10
  4. Step 4: Simplify right side
    12,953.90x = 81,514,358.84
  5. Step 5: Solve for x
    x = 81,514,358.84/12,953.90
  6. Step 6: Final answer
    x = 6,292.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.