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Finding the Fourth Proportional to 14,210.40, 21,191.28 and 13,434

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Solution

The fourth proportional to 14,210.40, 21,191.28 and 13,434 is: 20,033.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,210.40 : 21,191.28 = 13,434 : x
  2. Step 2: Convert to fraction form
    14,210.40/21,191.28 = 13,434/x
  3. Step 3: Cross multiply
    14,210.40x = 21,191.28 × 13,434
  4. Step 4: Simplify right side
    14,210.40x = 284,683,655.52
  5. Step 5: Solve for x
    x = 284,683,655.52/14,210.40
  6. Step 6: Final answer
    x = 20,033.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.