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Finding the Fourth Proportional to 13,526.10, 18,665.97 and 7,557.77

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Solution

The fourth proportional to 13,526.10, 18,665.97 and 7,557.77 is: 10,429.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,526.10 : 18,665.97 = 7,557.77 : x
  2. Step 2: Convert to fraction form
    13,526.10/18,665.97 = 7,557.77/x
  3. Step 3: Cross multiply
    13,526.10x = 18,665.97 × 7,557.77
  4. Step 4: Simplify right side
    13,526.10x = 141,073,070.87
  5. Step 5: Solve for x
    x = 141,073,070.87/13,526.10
  6. Step 6: Final answer
    x = 10,429.70

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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.