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Finding the Fourth Proportional to 12,710.16, 19,061.64 and 8,023.14

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Solution

The fourth proportional to 12,710.16, 19,061.64 and 8,023.14 is: 12,032.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,710.16 : 19,061.64 = 8,023.14 : x
  2. Step 2: Convert to fraction form
    12,710.16/19,061.64 = 8,023.14/x
  3. Step 3: Cross multiply
    12,710.16x = 19,061.64 × 8,023.14
  4. Step 4: Simplify right side
    12,710.16x = 152,934,206.35
  5. Step 5: Solve for x
    x = 152,934,206.35/12,710.16
  6. Step 6: Final answer
    x = 12,032.44

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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.