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Finding the Fourth Proportional to 13,008.96, 19,525.59 and 7,157.52

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Solution

The fourth proportional to 13,008.96, 19,525.59 and 7,157.52 is: 10,742.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,008.96 : 19,525.59 = 7,157.52 : x
  2. Step 2: Convert to fraction form
    13,008.96/19,525.59 = 7,157.52/x
  3. Step 3: Cross multiply
    13,008.96x = 19,525.59 × 7,157.52
  4. Step 4: Simplify right side
    13,008.96x = 139,754,800.94
  5. Step 5: Solve for x
    x = 139,754,800.94/13,008.96
  6. Step 6: Final answer
    x = 10,742.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.