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Finding the Fourth Proportional to 21,697.64, 32,509.26 and 14,568.52

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Solution

The fourth proportional to 21,697.64, 32,509.26 and 14,568.52 is: 21,827.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,697.64 : 32,509.26 = 14,568.52 : x
  2. Step 2: Convert to fraction form
    21,697.64/32,509.26 = 14,568.52/x
  3. Step 3: Cross multiply
    21,697.64x = 32,509.26 × 14,568.52
  4. Step 4: Simplify right side
    21,697.64x = 473,611,804.50
  5. Step 5: Solve for x
    x = 473,611,804.50/21,697.64
  6. Step 6: Final answer
    x = 21,827.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.