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Finding the Fourth Proportional to 12,735.47, 17,574.49 and 7,070.47

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Solution

The fourth proportional to 12,735.47, 17,574.49 and 7,070.47 is: 9,756.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,735.47 : 17,574.49 = 7,070.47 : x
  2. Step 2: Convert to fraction form
    12,735.47/17,574.49 = 7,070.47/x
  3. Step 3: Cross multiply
    12,735.47x = 17,574.49 × 7,070.47
  4. Step 4: Simplify right side
    12,735.47x = 124,259,904.31
  5. Step 5: Solve for x
    x = 124,259,904.31/12,735.47
  6. Step 6: Final answer
    x = 9,756.99

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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.