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Finding the Fourth Proportional to 14,073.25, 19,421.70 and 7,785.63

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Solution

The fourth proportional to 14,073.25, 19,421.70 and 7,785.63 is: 10,744.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,073.25 : 19,421.70 = 7,785.63 : x
  2. Step 2: Convert to fraction form
    14,073.25/19,421.70 = 7,785.63/x
  3. Step 3: Cross multiply
    14,073.25x = 19,421.70 × 7,785.63
  4. Step 4: Simplify right side
    14,073.25x = 151,210,170.17
  5. Step 5: Solve for x
    x = 151,210,170.17/14,073.25
  6. Step 6: Final answer
    x = 10,744.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.