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Finding the Fourth Proportional to 13,547.94, 18,666.45 and 12,811.38

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Solution

The fourth proportional to 13,547.94, 18,666.45 and 12,811.38 is: 17,651.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,547.94 : 18,666.45 = 12,811.38 : x
  2. Step 2: Convert to fraction form
    13,547.94/18,666.45 = 12,811.38/x
  3. Step 3: Cross multiply
    13,547.94x = 18,666.45 × 12,811.38
  4. Step 4: Simplify right side
    13,547.94x = 239,142,984.20
  5. Step 5: Solve for x
    x = 239,142,984.20/13,547.94
  6. Step 6: Final answer
    x = 17,651.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.