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Finding the Fourth Proportional to 12,897.72, 17,798.22 and 7,308.60

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Solution

The fourth proportional to 12,897.72, 17,798.22 and 7,308.60 is: 10,085.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.72 : 17,798.22 = 7,308.60 : x
  2. Step 2: Convert to fraction form
    12,897.72/17,798.22 = 7,308.60/x
  3. Step 3: Cross multiply
    12,897.72x = 17,798.22 × 7,308.60
  4. Step 4: Simplify right side
    12,897.72x = 130,080,070.69
  5. Step 5: Solve for x
    x = 130,080,070.69/12,897.72
  6. Step 6: Final answer
    x = 10,085.51

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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.