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Finding the Fourth Proportional to 14,569.69, 20,093.74 and 12,312.05

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Solution

The fourth proportional to 14,569.69, 20,093.74 and 12,312.05 is: 16,980.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,569.69 : 20,093.74 = 12,312.05 : x
  2. Step 2: Convert to fraction form
    14,569.69/20,093.74 = 12,312.05/x
  3. Step 3: Cross multiply
    14,569.69x = 20,093.74 × 12,312.05
  4. Step 4: Simplify right side
    14,569.69x = 247,395,131.57
  5. Step 5: Solve for x
    x = 247,395,131.57/14,569.69
  6. Step 6: Final answer
    x = 16,980.12

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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.