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Finding the Fourth Proportional to 13,772.66, 20,733.94 and 12,547.94

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Solution

The fourth proportional to 13,772.66, 20,733.94 and 12,547.94 is: 18,890.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.66 : 20,733.94 = 12,547.94 : x
  2. Step 2: Convert to fraction form
    13,772.66/20,733.94 = 12,547.94/x
  3. Step 3: Cross multiply
    13,772.66x = 20,733.94 × 12,547.94
  4. Step 4: Simplify right side
    13,772.66x = 260,168,235.08
  5. Step 5: Solve for x
    x = 260,168,235.08/13,772.66
  6. Step 6: Final answer
    x = 18,890.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.