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Finding the Fourth Proportional to 14,148.13, 19,524.77 and 7,774.67

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Solution

The fourth proportional to 14,148.13, 19,524.77 and 7,774.67 is: 10,729.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,148.13 : 19,524.77 = 7,774.67 : x
  2. Step 2: Convert to fraction form
    14,148.13/19,524.77 = 7,774.67/x
  3. Step 3: Cross multiply
    14,148.13x = 19,524.77 × 7,774.67
  4. Step 4: Simplify right side
    14,148.13x = 151,798,653.51
  5. Step 5: Solve for x
    x = 151,798,653.51/14,148.13
  6. Step 6: Final answer
    x = 10,729.24

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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.