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Finding the Fourth Proportional to 23,549.86, 32,485.29 and 14,702.50

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Solution

The fourth proportional to 23,549.86, 32,485.29 and 14,702.50 is: 20,281.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,549.86 : 32,485.29 = 14,702.50 : x
  2. Step 2: Convert to fraction form
    23,549.86/32,485.29 = 14,702.50/x
  3. Step 3: Cross multiply
    23,549.86x = 32,485.29 × 14,702.50
  4. Step 4: Simplify right side
    23,549.86x = 477,614,976.23
  5. Step 5: Solve for x
    x = 477,614,976.23/23,549.86
  6. Step 6: Final answer
    x = 20,281.01

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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.