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Finding the Fourth Proportional to 14,163, 19,549.80 and 8,574

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Solution

The fourth proportional to 14,163, 19,549.80 and 8,574 is: 11,835.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,163 : 19,549.80 = 8,574 : x
  2. Step 2: Convert to fraction form
    14,163/19,549.80 = 8,574/x
  3. Step 3: Cross multiply
    14,163x = 19,549.80 × 8,574
  4. Step 4: Simplify right side
    14,163x = 167,619,985.20
  5. Step 5: Solve for x
    x = 167,619,985.20/14,163
  6. Step 6: Final answer
    x = 11,835.06

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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.