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Finding the Fourth Proportional to 14,206.06, 21,316.65 and 8,374.06

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Solution

The fourth proportional to 14,206.06, 21,316.65 and 8,374.06 is: 12,565.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206.06 : 21,316.65 = 8,374.06 : x
  2. Step 2: Convert to fraction form
    14,206.06/21,316.65 = 8,374.06/x
  3. Step 3: Cross multiply
    14,206.06x = 21,316.65 × 8,374.06
  4. Step 4: Simplify right side
    14,206.06x = 178,506,906.10
  5. Step 5: Solve for x
    x = 178,506,906.10/14,206.06
  6. Step 6: Final answer
    x = 12,565.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.