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Finding the Fourth Proportional to 24,389.52, 33,659.40 and 13,780.32

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Solution

The fourth proportional to 24,389.52, 33,659.40 and 13,780.32 is: 19,017.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,389.52 : 33,659.40 = 13,780.32 : x
  2. Step 2: Convert to fraction form
    24,389.52/33,659.40 = 13,780.32/x
  3. Step 3: Cross multiply
    24,389.52x = 33,659.40 × 13,780.32
  4. Step 4: Simplify right side
    24,389.52x = 463,837,303.01
  5. Step 5: Solve for x
    x = 463,837,303.01/24,389.52
  6. Step 6: Final answer
    x = 19,017.89

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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.