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Finding the Fourth Proportional to 23,497.44, 32,422.80 and 14,064

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Solution

The fourth proportional to 23,497.44, 32,422.80 and 14,064 is: 19,406.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,497.44 : 32,422.80 = 14,064 : x
  2. Step 2: Convert to fraction form
    23,497.44/32,422.80 = 14,064/x
  3. Step 3: Cross multiply
    23,497.44x = 32,422.80 × 14,064
  4. Step 4: Simplify right side
    23,497.44x = 455,994,259.20
  5. Step 5: Solve for x
    x = 455,994,259.20/23,497.44
  6. Step 6: Final answer
    x = 19,406.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.