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Finding the Fourth Proportional to 14,113.63, 19,476.50 and 8,064.14

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Solution

The fourth proportional to 14,113.63, 19,476.50 and 8,064.14 is: 11,128.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,113.63 : 19,476.50 = 8,064.14 : x
  2. Step 2: Convert to fraction form
    14,113.63/19,476.50 = 8,064.14/x
  3. Step 3: Cross multiply
    14,113.63x = 19,476.50 × 8,064.14
  4. Step 4: Simplify right side
    14,113.63x = 157,061,222.71
  5. Step 5: Solve for x
    x = 157,061,222.71/14,113.63
  6. Step 6: Final answer
    x = 11,128.34

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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.