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Finding the Fourth Proportional to 14,657.99, 21,973.84 and 5,295.81

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Solution

The fourth proportional to 14,657.99, 21,973.84 and 5,295.81 is: 7,938.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657.99 : 21,973.84 = 5,295.81 : x
  2. Step 2: Convert to fraction form
    14,657.99/21,973.84 = 5,295.81/x
  3. Step 3: Cross multiply
    14,657.99x = 21,973.84 × 5,295.81
  4. Step 4: Simplify right side
    14,657.99x = 116,369,281.61
  5. Step 5: Solve for x
    x = 116,369,281.61/14,657.99
  6. Step 6: Final answer
    x = 7,938.97

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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.