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Finding the Fourth Proportional to 14,572.80, 21,848.40 and 9,881.10

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Solution

The fourth proportional to 14,572.80, 21,848.40 and 9,881.10 is: 14,814.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,572.80 : 21,848.40 = 9,881.10 : x
  2. Step 2: Convert to fraction form
    14,572.80/21,848.40 = 9,881.10/x
  3. Step 3: Cross multiply
    14,572.80x = 21,848.40 × 9,881.10
  4. Step 4: Simplify right side
    14,572.80x = 215,886,225.24
  5. Step 5: Solve for x
    x = 215,886,225.24/14,572.80
  6. Step 6: Final answer
    x = 14,814.33

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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.