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Finding the Fourth Proportional to 13,817.88, 19,068.80 and 7,530.39

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Solution

The fourth proportional to 13,817.88, 19,068.80 and 7,530.39 is: 10,392.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.88 : 19,068.80 = 7,530.39 : x
  2. Step 2: Convert to fraction form
    13,817.88/19,068.80 = 7,530.39/x
  3. Step 3: Cross multiply
    13,817.88x = 19,068.80 × 7,530.39
  4. Step 4: Simplify right side
    13,817.88x = 143,595,424.31
  5. Step 5: Solve for x
    x = 143,595,424.31/13,817.88
  6. Step 6: Final answer
    x = 10,392.00

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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.