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Finding the Fourth Proportional to 14,869.12, 22,284.12 and 8,298.40

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Solution

The fourth proportional to 14,869.12, 22,284.12 and 8,298.40 is: 12,436.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,869.12 : 22,284.12 = 8,298.40 : x
  2. Step 2: Convert to fraction form
    14,869.12/22,284.12 = 8,298.40/x
  3. Step 3: Cross multiply
    14,869.12x = 22,284.12 × 8,298.40
  4. Step 4: Simplify right side
    14,869.12x = 184,922,541.41
  5. Step 5: Solve for x
    x = 184,922,541.41/14,869.12
  6. Step 6: Final answer
    x = 12,436.68

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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.