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Finding the Fourth Proportional to 16,064.64, 24,097.98 and 4,970.40

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Solution

The fourth proportional to 16,064.64, 24,097.98 and 4,970.40 is: 7,455.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,064.64 : 24,097.98 = 4,970.40 : x
  2. Step 2: Convert to fraction form
    16,064.64/24,097.98 = 4,970.40/x
  3. Step 3: Cross multiply
    16,064.64x = 24,097.98 × 4,970.40
  4. Step 4: Simplify right side
    16,064.64x = 119,776,479.30
  5. Step 5: Solve for x
    x = 119,776,479.30/16,064.64
  6. Step 6: Final answer
    x = 7,455.91

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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.