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Finding the Fourth Proportional to 14,561.86, 21,843 and 4,701.22

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Solution

The fourth proportional to 14,561.86, 21,843 and 4,701.22 is: 7,051.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,561.86 : 21,843 = 4,701.22 : x
  2. Step 2: Convert to fraction form
    14,561.86/21,843 = 4,701.22/x
  3. Step 3: Cross multiply
    14,561.86x = 21,843 × 4,701.22
  4. Step 4: Simplify right side
    14,561.86x = 102,688,748.46
  5. Step 5: Solve for x
    x = 102,688,748.46/14,561.86
  6. Step 6: Final answer
    x = 7,051.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.