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Finding the Fourth Proportional to 15,653.66, 23,488.14 and 6,887.48

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Solution

The fourth proportional to 15,653.66, 23,488.14 and 6,887.48 is: 10,334.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,653.66 : 23,488.14 = 6,887.48 : x
  2. Step 2: Convert to fraction form
    15,653.66/23,488.14 = 6,887.48/x
  3. Step 3: Cross multiply
    15,653.66x = 23,488.14 × 6,887.48
  4. Step 4: Simplify right side
    15,653.66x = 161,774,094.49
  5. Step 5: Solve for x
    x = 161,774,094.49/15,653.66
  6. Step 6: Final answer
    x = 10,334.59

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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.