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Finding the Fourth Proportional to 15,970.16, 22,039.06 and 9,256.26

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Solution

The fourth proportional to 15,970.16, 22,039.06 and 9,256.26 is: 12,773.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,970.16 : 22,039.06 = 9,256.26 : x
  2. Step 2: Convert to fraction form
    15,970.16/22,039.06 = 9,256.26/x
  3. Step 3: Cross multiply
    15,970.16x = 22,039.06 × 9,256.26
  4. Step 4: Simplify right side
    15,970.16x = 203,999,269.52
  5. Step 5: Solve for x
    x = 203,999,269.52/15,970.16
  6. Step 6: Final answer
    x = 12,773.78

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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.