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Finding the Fourth Proportional to 19,637.60, 27,099.68 and 10,684.98

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Solution

The fourth proportional to 19,637.60, 27,099.68 and 10,684.98 is: 14,745.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,637.60 : 27,099.68 = 10,684.98 : x
  2. Step 2: Convert to fraction form
    19,637.60/27,099.68 = 10,684.98/x
  3. Step 3: Cross multiply
    19,637.60x = 27,099.68 × 10,684.98
  4. Step 4: Simplify right side
    19,637.60x = 289,559,485.38
  5. Step 5: Solve for x
    x = 289,559,485.38/19,637.60
  6. Step 6: Final answer
    x = 14,745.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.