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Finding the Fourth Proportional to 16,208.64, 24,307.02 and 7,886.16

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Solution

The fourth proportional to 16,208.64, 24,307.02 and 7,886.16 is: 11,826.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,208.64 : 24,307.02 = 7,886.16 : x
  2. Step 2: Convert to fraction form
    16,208.64/24,307.02 = 7,886.16/x
  3. Step 3: Cross multiply
    16,208.64x = 24,307.02 × 7,886.16
  4. Step 4: Simplify right side
    16,208.64x = 191,689,048.84
  5. Step 5: Solve for x
    x = 191,689,048.84/16,208.64
  6. Step 6: Final answer
    x = 11,826.35

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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.