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Finding the Fourth Proportional to 23,445.64, 32,356.02 and 14,014

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Solution

The fourth proportional to 23,445.64, 32,356.02 and 14,014 is: 19,339.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,445.64 : 32,356.02 = 14,014 : x
  2. Step 2: Convert to fraction form
    23,445.64/32,356.02 = 14,014/x
  3. Step 3: Cross multiply
    23,445.64x = 32,356.02 × 14,014
  4. Step 4: Simplify right side
    23,445.64x = 453,437,264.28
  5. Step 5: Solve for x
    x = 453,437,264.28/23,445.64
  6. Step 6: Final answer
    x = 19,339.94

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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.