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Finding the Fourth Proportional to 12,830.42, 17,710.22 and 7,525.13

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Solution

The fourth proportional to 12,830.42, 17,710.22 and 7,525.13 is: 10,387.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.42 : 17,710.22 = 7,525.13 : x
  2. Step 2: Convert to fraction form
    12,830.42/17,710.22 = 7,525.13/x
  3. Step 3: Cross multiply
    12,830.42x = 17,710.22 × 7,525.13
  4. Step 4: Simplify right side
    12,830.42x = 133,271,638.09
  5. Step 5: Solve for x
    x = 133,271,638.09/12,830.42
  6. Step 6: Final answer
    x = 10,387.16

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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.