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Finding the Fourth Proportional to 12,730.12, 17,564.52 and 7,421.92

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Solution

The fourth proportional to 12,730.12, 17,564.52 and 7,421.92 is: 10,240.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,730.12 : 17,564.52 = 7,421.92 : x
  2. Step 2: Convert to fraction form
    12,730.12/17,564.52 = 7,421.92/x
  3. Step 3: Cross multiply
    12,730.12x = 17,564.52 × 7,421.92
  4. Step 4: Simplify right side
    12,730.12x = 130,362,462.28
  5. Step 5: Solve for x
    x = 130,362,462.28/12,730.12
  6. Step 6: Final answer
    x = 10,240.47

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