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Finding the Fourth Proportional to 12,434.66, 18,646.14 and 5,033.49

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Solution

The fourth proportional to 12,434.66, 18,646.14 and 5,033.49 is: 7,547.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.66 : 18,646.14 = 5,033.49 : x
  2. Step 2: Convert to fraction form
    12,434.66/18,646.14 = 5,033.49/x
  3. Step 3: Cross multiply
    12,434.66x = 18,646.14 × 5,033.49
  4. Step 4: Simplify right side
    12,434.66x = 93,855,066.00
  5. Step 5: Solve for x
    x = 93,855,066.00/12,434.66
  6. Step 6: Final answer
    x = 7,547.86

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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.