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Finding the Fourth Proportional to 17,882.48, 24,678.33 and 9,816.50

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Solution

The fourth proportional to 17,882.48, 24,678.33 and 9,816.50 is: 13,547.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,882.48 : 24,678.33 = 9,816.50 : x
  2. Step 2: Convert to fraction form
    17,882.48/24,678.33 = 9,816.50/x
  3. Step 3: Cross multiply
    17,882.48x = 24,678.33 × 9,816.50
  4. Step 4: Simplify right side
    17,882.48x = 242,254,826.45
  5. Step 5: Solve for x
    x = 242,254,826.45/17,882.48
  6. Step 6: Final answer
    x = 13,547.05

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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.