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Finding the Fourth Proportional to 17,883, 24,678.58 and 9,816.72

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Solution

The fourth proportional to 17,883, 24,678.58 and 9,816.72 is: 13,547.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,883 : 24,678.58 = 9,816.72 : x
  2. Step 2: Convert to fraction form
    17,883/24,678.58 = 9,816.72/x
  3. Step 3: Cross multiply
    17,883x = 24,678.58 × 9,816.72
  4. Step 4: Simplify right side
    17,883x = 242,262,709.86
  5. Step 5: Solve for x
    x = 242,262,709.86/17,883
  6. Step 6: Final answer
    x = 13,547.10

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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.