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Finding the Fourth Proportional to 24,888, 34,346.04 and 13,710

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Solution

The fourth proportional to 24,888, 34,346.04 and 13,710 is: 18,920.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,888 : 34,346.04 = 13,710 : x
  2. Step 2: Convert to fraction form
    24,888/34,346.04 = 13,710/x
  3. Step 3: Cross multiply
    24,888x = 34,346.04 × 13,710
  4. Step 4: Simplify right side
    24,888x = 470,884,208.40
  5. Step 5: Solve for x
    x = 470,884,208.40/24,888
  6. Step 6: Final answer
    x = 18,920.13

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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.