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Finding the Fourth Proportional to 13,291.56, 19,939.74 and 5,501

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Solution

The fourth proportional to 13,291.56, 19,939.74 and 5,501 is: 8,252.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,291.56 : 19,939.74 = 5,501 : x
  2. Step 2: Convert to fraction form
    13,291.56/19,939.74 = 5,501/x
  3. Step 3: Cross multiply
    13,291.56x = 19,939.74 × 5,501
  4. Step 4: Simplify right side
    13,291.56x = 109,688,509.74
  5. Step 5: Solve for x
    x = 109,688,509.74/13,291.56
  6. Step 6: Final answer
    x = 8,252.49

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Why These Related Problems?

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