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Finding the Fourth Proportional to 23,415, 32,313.24 and 14,468.64

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Solution

The fourth proportional to 23,415, 32,313.24 and 14,468.64 is: 19,967.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,415 : 32,313.24 = 14,468.64 : x
  2. Step 2: Convert to fraction form
    23,415/32,313.24 = 14,468.64/x
  3. Step 3: Cross multiply
    23,415x = 32,313.24 × 14,468.64
  4. Step 4: Simplify right side
    23,415x = 467,528,636.79
  5. Step 5: Solve for x
    x = 467,528,636.79/23,415
  6. Step 6: Final answer
    x = 19,967.06

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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.