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Finding the Fourth Proportional to 12,813.14, 17,681.58 and 9,454.74

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Solution

The fourth proportional to 12,813.14, 17,681.58 and 9,454.74 is: 13,047.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.14 : 17,681.58 = 9,454.74 : x
  2. Step 2: Convert to fraction form
    12,813.14/17,681.58 = 9,454.74/x
  3. Step 3: Cross multiply
    12,813.14x = 17,681.58 × 9,454.74
  4. Step 4: Simplify right side
    12,813.14x = 167,174,741.69
  5. Step 5: Solve for x
    x = 167,174,741.69/12,813.14
  6. Step 6: Final answer
    x = 13,047.14

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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.