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Finding the Fourth Proportional to 14,801.94, 20,417.13 and 8,829

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Solution

The fourth proportional to 14,801.94, 20,417.13 and 8,829 is: 12,178.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,801.94 : 20,417.13 = 8,829 : x
  2. Step 2: Convert to fraction form
    14,801.94/20,417.13 = 8,829/x
  3. Step 3: Cross multiply
    14,801.94x = 20,417.13 × 8,829
  4. Step 4: Simplify right side
    14,801.94x = 180,262,840.77
  5. Step 5: Solve for x
    x = 180,262,840.77/14,801.94
  6. Step 6: Final answer
    x = 12,178.33

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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.