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Finding the Fourth Proportional to 13,175.36, 19,748.80 and 6,588.48

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Solution

The fourth proportional to 13,175.36, 19,748.80 and 6,588.48 is: 9,875.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,175.36 : 19,748.80 = 6,588.48 : x
  2. Step 2: Convert to fraction form
    13,175.36/19,748.80 = 6,588.48/x
  3. Step 3: Cross multiply
    13,175.36x = 19,748.80 × 6,588.48
  4. Step 4: Simplify right side
    13,175.36x = 130,114,573.82
  5. Step 5: Solve for x
    x = 130,114,573.82/13,175.36
  6. Step 6: Final answer
    x = 9,875.60

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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.