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Finding the Fourth Proportional to 13,525.64, 18,666.98 and 7,558.12

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Solution

The fourth proportional to 13,525.64, 18,666.98 and 7,558.12 is: 10,431.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,525.64 : 18,666.98 = 7,558.12 : x
  2. Step 2: Convert to fraction form
    13,525.64/18,666.98 = 7,558.12/x
  3. Step 3: Cross multiply
    13,525.64x = 18,666.98 × 7,558.12
  4. Step 4: Simplify right side
    13,525.64x = 141,087,274.88
  5. Step 5: Solve for x
    x = 141,087,274.88/13,525.64
  6. Step 6: Final answer
    x = 10,431.10

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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.