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Finding the Fourth Proportional to 14,019.66, 19,347.12 and 8,051.70

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Solution

The fourth proportional to 14,019.66, 19,347.12 and 8,051.70 is: 11,111.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,019.66 : 19,347.12 = 8,051.70 : x
  2. Step 2: Convert to fraction form
    14,019.66/19,347.12 = 8,051.70/x
  3. Step 3: Cross multiply
    14,019.66x = 19,347.12 × 8,051.70
  4. Step 4: Simplify right side
    14,019.66x = 155,777,206.10
  5. Step 5: Solve for x
    x = 155,777,206.10/14,019.66
  6. Step 6: Final answer
    x = 11,111.34

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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.