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Finding the Fourth Proportional to 15,894.21, 23,836.77 and 6,406.50

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Solution

The fourth proportional to 15,894.21, 23,836.77 and 6,406.50 is: 9,607.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894.21 : 23,836.77 = 6,406.50 : x
  2. Step 2: Convert to fraction form
    15,894.21/23,836.77 = 6,406.50/x
  3. Step 3: Cross multiply
    15,894.21x = 23,836.77 × 6,406.50
  4. Step 4: Simplify right side
    15,894.21x = 152,710,267.01
  5. Step 5: Solve for x
    x = 152,710,267.01/15,894.21
  6. Step 6: Final answer
    x = 9,607.92

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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.