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Finding the Fourth Proportional to 15,577.85, 21,505.16 and 9,612.81

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Solution

The fourth proportional to 15,577.85, 21,505.16 and 9,612.81 is: 13,270.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,577.85 : 21,505.16 = 9,612.81 : x
  2. Step 2: Convert to fraction form
    15,577.85/21,505.16 = 9,612.81/x
  3. Step 3: Cross multiply
    15,577.85x = 21,505.16 × 9,612.81
  4. Step 4: Simplify right side
    15,577.85x = 206,725,041.13
  5. Step 5: Solve for x
    x = 206,725,041.13/15,577.85
  6. Step 6: Final answer
    x = 13,270.45

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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.