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Finding the Fourth Proportional to 15,364.64, 23,051.52 and 4,976.16

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Solution

The fourth proportional to 15,364.64, 23,051.52 and 4,976.16 is: 7,465.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,364.64 : 23,051.52 = 4,976.16 : x
  2. Step 2: Convert to fraction form
    15,364.64/23,051.52 = 4,976.16/x
  3. Step 3: Cross multiply
    15,364.64x = 23,051.52 × 4,976.16
  4. Step 4: Simplify right side
    15,364.64x = 114,708,051.76
  5. Step 5: Solve for x
    x = 114,708,051.76/15,364.64
  6. Step 6: Final answer
    x = 7,465.72

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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.