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Finding the Fourth Proportional to 17,858.72, 24,641.88 and 10,780.40

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Solution

The fourth proportional to 17,858.72, 24,641.88 and 10,780.40 is: 14,875.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,858.72 : 24,641.88 = 10,780.40 : x
  2. Step 2: Convert to fraction form
    17,858.72/24,641.88 = 10,780.40/x
  3. Step 3: Cross multiply
    17,858.72x = 24,641.88 × 10,780.40
  4. Step 4: Simplify right side
    17,858.72x = 265,649,323.15
  5. Step 5: Solve for x
    x = 265,649,323.15/17,858.72
  6. Step 6: Final answer
    x = 14,875.05

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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.