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Finding the Fourth Proportional to 13,815.84, 19,066.32 and 7,528.44

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Solution

The fourth proportional to 13,815.84, 19,066.32 and 7,528.44 is: 10,389.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,815.84 : 19,066.32 = 7,528.44 : x
  2. Step 2: Convert to fraction form
    13,815.84/19,066.32 = 7,528.44/x
  3. Step 3: Cross multiply
    13,815.84x = 19,066.32 × 7,528.44
  4. Step 4: Simplify right side
    13,815.84x = 143,539,646.14
  5. Step 5: Solve for x
    x = 143,539,646.14/13,815.84
  6. Step 6: Final answer
    x = 10,389.50

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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.