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Finding the Fourth Proportional to 14,402.98, 19,878.69 and 8,434.30

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Solution

The fourth proportional to 14,402.98, 19,878.69 and 8,434.30 is: 11,640.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,402.98 : 19,878.69 = 8,434.30 : x
  2. Step 2: Convert to fraction form
    14,402.98/19,878.69 = 8,434.30/x
  3. Step 3: Cross multiply
    14,402.98x = 19,878.69 × 8,434.30
  4. Step 4: Simplify right side
    14,402.98x = 167,662,835.07
  5. Step 5: Solve for x
    x = 167,662,835.07/14,402.98
  6. Step 6: Final answer
    x = 11,640.84

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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.