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Finding the Fourth Proportional to 14,886.32, 20,543.03 and 8,172.05

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Solution

The fourth proportional to 14,886.32, 20,543.03 and 8,172.05 is: 11,277.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,886.32 : 20,543.03 = 8,172.05 : x
  2. Step 2: Convert to fraction form
    14,886.32/20,543.03 = 8,172.05/x
  3. Step 3: Cross multiply
    14,886.32x = 20,543.03 × 8,172.05
  4. Step 4: Simplify right side
    14,886.32x = 167,878,678.81
  5. Step 5: Solve for x
    x = 167,878,678.81/14,886.32
  6. Step 6: Final answer
    x = 11,277.38

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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.