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Finding the Fourth Proportional to 13,008.42, 19,503.78 and 5,106

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Solution

The fourth proportional to 13,008.42, 19,503.78 and 5,106 is: 7,655.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,008.42 : 19,503.78 = 5,106 : x
  2. Step 2: Convert to fraction form
    13,008.42/19,503.78 = 5,106/x
  3. Step 3: Cross multiply
    13,008.42x = 19,503.78 × 5,106
  4. Step 4: Simplify right side
    13,008.42x = 99,586,300.68
  5. Step 5: Solve for x
    x = 99,586,300.68/13,008.42
  6. Step 6: Final answer
    x = 7,655.53

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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.