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Finding the Fourth Proportional to 14,307.94, 21,463.95 and 5,420.86

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Solution

The fourth proportional to 14,307.94, 21,463.95 and 5,420.86 is: 8,132.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,307.94 : 21,463.95 = 5,420.86 : x
  2. Step 2: Convert to fraction form
    14,307.94/21,463.95 = 5,420.86/x
  3. Step 3: Cross multiply
    14,307.94x = 21,463.95 × 5,420.86
  4. Step 4: Simplify right side
    14,307.94x = 116,353,034.67
  5. Step 5: Solve for x
    x = 116,353,034.67/14,307.94
  6. Step 6: Final answer
    x = 8,132.06

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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.