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Finding the Fourth Proportional to 23,046.69, 31,814.24 and 15,497.40

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Solution

The fourth proportional to 23,046.69, 31,814.24 and 15,497.40 is: 21,393.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,046.69 : 31,814.24 = 15,497.40 : x
  2. Step 2: Convert to fraction form
    23,046.69/31,814.24 = 15,497.40/x
  3. Step 3: Cross multiply
    23,046.69x = 31,814.24 × 15,497.40
  4. Step 4: Simplify right side
    23,046.69x = 493,037,925.49
  5. Step 5: Solve for x
    x = 493,037,925.49/23,046.69
  6. Step 6: Final answer
    x = 21,393.00

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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.