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Finding the Fourth Proportional to 14,454.13, 19,948.40 and 8,166.51

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Solution

The fourth proportional to 14,454.13, 19,948.40 and 8,166.51 is: 11,270.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,454.13 : 19,948.40 = 8,166.51 : x
  2. Step 2: Convert to fraction form
    14,454.13/19,948.40 = 8,166.51/x
  3. Step 3: Cross multiply
    14,454.13x = 19,948.40 × 8,166.51
  4. Step 4: Simplify right side
    14,454.13x = 162,908,808.08
  5. Step 5: Solve for x
    x = 162,908,808.08/14,454.13
  6. Step 6: Final answer
    x = 11,270.74

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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.