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Finding the Fourth Proportional to 24,477.30, 33,780 and 14,406.60

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Solution

The fourth proportional to 24,477.30, 33,780 and 14,406.60 is: 19,881.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,477.30 : 33,780 = 14,406.60 : x
  2. Step 2: Convert to fraction form
    24,477.30/33,780 = 14,406.60/x
  3. Step 3: Cross multiply
    24,477.30x = 33,780 × 14,406.60
  4. Step 4: Simplify right side
    24,477.30x = 486,654,948
  5. Step 5: Solve for x
    x = 486,654,948/24,477.30
  6. Step 6: Final answer
    x = 19,881.89

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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.