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Finding the Fourth Proportional to 14,296.83, 19,715.81 and 10,046.53

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Solution

The fourth proportional to 14,296.83, 19,715.81 and 10,046.53 is: 13,854.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,296.83 : 19,715.81 = 10,046.53 : x
  2. Step 2: Convert to fraction form
    14,296.83/19,715.81 = 10,046.53/x
  3. Step 3: Cross multiply
    14,296.83x = 19,715.81 × 10,046.53
  4. Step 4: Simplify right side
    14,296.83x = 198,075,451.05
  5. Step 5: Solve for x
    x = 198,075,451.05/14,296.83
  6. Step 6: Final answer
    x = 13,854.50

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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.