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Finding the Fourth Proportional to 13,525.79, 18,666.47 and 7,557.50

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Solution

The fourth proportional to 13,525.79, 18,666.47 and 7,557.50 is: 10,429.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,525.79 : 18,666.47 = 7,557.50 : x
  2. Step 2: Convert to fraction form
    13,525.79/18,666.47 = 7,557.50/x
  3. Step 3: Cross multiply
    13,525.79x = 18,666.47 × 7,557.50
  4. Step 4: Simplify right side
    13,525.79x = 141,071,847.03
  5. Step 5: Solve for x
    x = 141,071,847.03/13,525.79
  6. Step 6: Final answer
    x = 10,429.84

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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.