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Finding the Fourth Proportional to 15,670.77, 23,512.15 and 9,435.23

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Solution

The fourth proportional to 15,670.77, 23,512.15 and 9,435.23 is: 14,156.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,670.77 : 23,512.15 = 9,435.23 : x
  2. Step 2: Convert to fraction form
    15,670.77/23,512.15 = 9,435.23/x
  3. Step 3: Cross multiply
    15,670.77x = 23,512.15 × 9,435.23
  4. Step 4: Simplify right side
    15,670.77x = 221,842,631.17
  5. Step 5: Solve for x
    x = 221,842,631.17/15,670.77
  6. Step 6: Final answer
    x = 14,156.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.