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Finding the Fourth Proportional to 14,158.80, 19,539.41 and 7,785.68

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Solution

The fourth proportional to 14,158.80, 19,539.41 and 7,785.68 is: 10,744.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,158.80 : 19,539.41 = 7,785.68 : x
  2. Step 2: Convert to fraction form
    14,158.80/19,539.41 = 7,785.68/x
  3. Step 3: Cross multiply
    14,158.80x = 19,539.41 × 7,785.68
  4. Step 4: Simplify right side
    14,158.80x = 152,127,457.02
  5. Step 5: Solve for x
    x = 152,127,457.02/14,158.80
  6. Step 6: Final answer
    x = 10,744.38

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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.