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Finding the Fourth Proportional to 13,052.47, 19,561.94 and 5,931.50

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Solution

The fourth proportional to 13,052.47, 19,561.94 and 5,931.50 is: 8,889.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,052.47 : 19,561.94 = 5,931.50 : x
  2. Step 2: Convert to fraction form
    13,052.47/19,561.94 = 5,931.50/x
  3. Step 3: Cross multiply
    13,052.47x = 19,561.94 × 5,931.50
  4. Step 4: Simplify right side
    13,052.47x = 116,031,617.45
  5. Step 5: Solve for x
    x = 116,031,617.45/13,052.47
  6. Step 6: Final answer
    x = 8,889.63

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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.