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Finding the Fourth Proportional to 24,914.10, 34,365.72 and 14,835

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Solution

The fourth proportional to 24,914.10, 34,365.72 and 14,835 is: 20,462.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,914.10 : 34,365.72 = 14,835 : x
  2. Step 2: Convert to fraction form
    24,914.10/34,365.72 = 14,835/x
  3. Step 3: Cross multiply
    24,914.10x = 34,365.72 × 14,835
  4. Step 4: Simplify right side
    24,914.10x = 509,815,456.20
  5. Step 5: Solve for x
    x = 509,815,456.20/24,914.10
  6. Step 6: Final answer
    x = 20,462.93

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