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Finding the Fourth Proportional to 14,077.50, 19,421.16 and 9,044.66

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Solution

The fourth proportional to 14,077.50, 19,421.16 and 9,044.66 is: 12,477.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,077.50 : 19,421.16 = 9,044.66 : x
  2. Step 2: Convert to fraction form
    14,077.50/19,421.16 = 9,044.66/x
  3. Step 3: Cross multiply
    14,077.50x = 19,421.16 × 9,044.66
  4. Step 4: Simplify right side
    14,077.50x = 175,657,789.01
  5. Step 5: Solve for x
    x = 175,657,789.01/14,077.50
  6. Step 6: Final answer
    x = 12,477.91

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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.