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Finding the Fourth Proportional to 17,742.04, 24,483.84 and 9,784.12

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Solution

The fourth proportional to 17,742.04, 24,483.84 and 9,784.12 is: 13,501.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,742.04 : 24,483.84 = 9,784.12 : x
  2. Step 2: Convert to fraction form
    17,742.04/24,483.84 = 9,784.12/x
  3. Step 3: Cross multiply
    17,742.04x = 24,483.84 × 9,784.12
  4. Step 4: Simplify right side
    17,742.04x = 239,552,828.62
  5. Step 5: Solve for x
    x = 239,552,828.62/17,742.04
  6. Step 6: Final answer
    x = 13,501.99

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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.