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Finding the Fourth Proportional to 23,543.46, 35,307.90 and 10,406.88

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Solution

The fourth proportional to 23,543.46, 35,307.90 and 10,406.88 is: 15,607.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,543.46 : 35,307.90 = 10,406.88 : x
  2. Step 2: Convert to fraction form
    23,543.46/35,307.90 = 10,406.88/x
  3. Step 3: Cross multiply
    23,543.46x = 35,307.90 × 10,406.88
  4. Step 4: Simplify right side
    23,543.46x = 367,445,078.35
  5. Step 5: Solve for x
    x = 367,445,078.35/23,543.46
  6. Step 6: Final answer
    x = 15,607.10

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