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Finding the Fourth Proportional to 13,172.64, 19,748.64 and 6,595.52

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Solution

The fourth proportional to 13,172.64, 19,748.64 and 6,595.52 is: 9,888.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,172.64 : 19,748.64 = 6,595.52 : x
  2. Step 2: Convert to fraction form
    13,172.64/19,748.64 = 6,595.52/x
  3. Step 3: Cross multiply
    13,172.64x = 19,748.64 × 6,595.52
  4. Step 4: Simplify right side
    13,172.64x = 130,252,550.09
  5. Step 5: Solve for x
    x = 130,252,550.09/13,172.64
  6. Step 6: Final answer
    x = 9,888.11

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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.