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Finding the Fourth Proportional to 14,132.99, 19,505.19 and 7,845.77

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Solution

The fourth proportional to 14,132.99, 19,505.19 and 7,845.77 is: 10,828.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,132.99 : 19,505.19 = 7,845.77 : x
  2. Step 2: Convert to fraction form
    14,132.99/19,505.19 = 7,845.77/x
  3. Step 3: Cross multiply
    14,132.99x = 19,505.19 × 7,845.77
  4. Step 4: Simplify right side
    14,132.99x = 153,033,137.02
  5. Step 5: Solve for x
    x = 153,033,137.02/14,132.99
  6. Step 6: Final answer
    x = 10,828.08

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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.