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Finding the Fourth Proportional to 14,070.72, 19,422 and 9,035.76

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Solution

The fourth proportional to 14,070.72, 19,422 and 9,035.76 is: 12,472.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,070.72 : 19,422 = 9,035.76 : x
  2. Step 2: Convert to fraction form
    14,070.72/19,422 = 9,035.76/x
  3. Step 3: Cross multiply
    14,070.72x = 19,422 × 9,035.76
  4. Step 4: Simplify right side
    14,070.72x = 175,492,530.72
  5. Step 5: Solve for x
    x = 175,492,530.72/14,070.72
  6. Step 6: Final answer
    x = 12,472.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.