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Finding the Fourth Proportional to 14,142.86, 19,526.91 and 8,840.06

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Solution

The fourth proportional to 14,142.86, 19,526.91 and 8,840.06 is: 12,205.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.86 : 19,526.91 = 8,840.06 : x
  2. Step 2: Convert to fraction form
    14,142.86/19,526.91 = 8,840.06/x
  3. Step 3: Cross multiply
    14,142.86x = 19,526.91 × 8,840.06
  4. Step 4: Simplify right side
    14,142.86x = 172,619,056.01
  5. Step 5: Solve for x
    x = 172,619,056.01/14,142.86
  6. Step 6: Final answer
    x = 12,205.39

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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.