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Finding the Fourth Proportional to 21,368.08, 32,059 and 10,275.60

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Solution

The fourth proportional to 21,368.08, 32,059 and 10,275.60 is: 15,416.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,368.08 : 32,059 = 10,275.60 : x
  2. Step 2: Convert to fraction form
    21,368.08/32,059 = 10,275.60/x
  3. Step 3: Cross multiply
    21,368.08x = 32,059 × 10,275.60
  4. Step 4: Simplify right side
    21,368.08x = 329,425,460.40
  5. Step 5: Solve for x
    x = 329,425,460.40/21,368.08
  6. Step 6: Final answer
    x = 15,416.71

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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.