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Finding the Fourth Proportional to 18,547.16, 27,814.87 and 6,064.30

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Solution

The fourth proportional to 18,547.16, 27,814.87 and 6,064.30 is: 9,094.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,547.16 : 27,814.87 = 6,064.30 : x
  2. Step 2: Convert to fraction form
    18,547.16/27,814.87 = 6,064.30/x
  3. Step 3: Cross multiply
    18,547.16x = 27,814.87 × 6,064.30
  4. Step 4: Simplify right side
    18,547.16x = 168,677,741.43
  5. Step 5: Solve for x
    x = 168,677,741.43/18,547.16
  6. Step 6: Final answer
    x = 9,094.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.