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Finding the Fourth Proportional to 17,830.76, 24,607.68 and 9,873.32

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Solution

The fourth proportional to 17,830.76, 24,607.68 and 9,873.32 is: 13,625.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.76 : 24,607.68 = 9,873.32 : x
  2. Step 2: Convert to fraction form
    17,830.76/24,607.68 = 9,873.32/x
  3. Step 3: Cross multiply
    17,830.76x = 24,607.68 × 9,873.32
  4. Step 4: Simplify right side
    17,830.76x = 242,959,499.10
  5. Step 5: Solve for x
    x = 242,959,499.10/17,830.76
  6. Step 6: Final answer
    x = 13,625.86

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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.