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Finding the Fourth Proportional to 14,547.66, 20,074.08 and 8,173.40

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Solution

The fourth proportional to 14,547.66, 20,074.08 and 8,173.40 is: 11,278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,547.66 : 20,074.08 = 8,173.40 : x
  2. Step 2: Convert to fraction form
    14,547.66/20,074.08 = 8,173.40/x
  3. Step 3: Cross multiply
    14,547.66x = 20,074.08 × 8,173.40
  4. Step 4: Simplify right side
    14,547.66x = 164,073,485.47
  5. Step 5: Solve for x
    x = 164,073,485.47/14,547.66
  6. Step 6: Final answer
    x = 11,278.34

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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.