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Finding the Fourth Proportional to 17,742.15, 24,482.90 and 9,784.20

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Solution

The fourth proportional to 17,742.15, 24,482.90 and 9,784.20 is: 13,501.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,742.15 : 24,482.90 = 9,784.20 : x
  2. Step 2: Convert to fraction form
    17,742.15/24,482.90 = 9,784.20/x
  3. Step 3: Cross multiply
    17,742.15x = 24,482.90 × 9,784.20
  4. Step 4: Simplify right side
    17,742.15x = 239,545,541.26
  5. Step 5: Solve for x
    x = 239,545,541.26/17,742.15
  6. Step 6: Final answer
    x = 13,501.49

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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.