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Finding the Fourth Proportional to 14,331.63, 19,779.47 and 8,044

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Solution

The fourth proportional to 14,331.63, 19,779.47 and 8,044 is: 11,101.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,331.63 : 19,779.47 = 8,044 : x
  2. Step 2: Convert to fraction form
    14,331.63/19,779.47 = 8,044/x
  3. Step 3: Cross multiply
    14,331.63x = 19,779.47 × 8,044
  4. Step 4: Simplify right side
    14,331.63x = 159,106,056.68
  5. Step 5: Solve for x
    x = 159,106,056.68/14,331.63
  6. Step 6: Final answer
    x = 11,101.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.