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Finding the Fourth Proportional to 15,392.64, 23,088 and 4,448.64

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Solution

The fourth proportional to 15,392.64, 23,088 and 4,448.64 is: 6,672.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,392.64 : 23,088 = 4,448.64 : x
  2. Step 2: Convert to fraction form
    15,392.64/23,088 = 4,448.64/x
  3. Step 3: Cross multiply
    15,392.64x = 23,088 × 4,448.64
  4. Step 4: Simplify right side
    15,392.64x = 102,710,200.32
  5. Step 5: Solve for x
    x = 102,710,200.32/15,392.64
  6. Step 6: Final answer
    x = 6,672.68

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Why These Related Problems?

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