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Finding the Fourth Proportional to 12,970.26, 17,897.49 and 7,304.58

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Solution

The fourth proportional to 12,970.26, 17,897.49 and 7,304.58 is: 10,079.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970.26 : 17,897.49 = 7,304.58 : x
  2. Step 2: Convert to fraction form
    12,970.26/17,897.49 = 7,304.58/x
  3. Step 3: Cross multiply
    12,970.26x = 17,897.49 × 7,304.58
  4. Step 4: Simplify right side
    12,970.26x = 130,733,647.50
  5. Step 5: Solve for x
    x = 130,733,647.50/12,970.26
  6. Step 6: Final answer
    x = 10,079.49

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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.