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Finding the Fourth Proportional to 15,365.64, 23,053.02 and 4,977.16

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Solution

The fourth proportional to 15,365.64, 23,053.02 and 4,977.16 is: 7,467.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,365.64 : 23,053.02 = 4,977.16 : x
  2. Step 2: Convert to fraction form
    15,365.64/23,053.02 = 4,977.16/x
  3. Step 3: Cross multiply
    15,365.64x = 23,053.02 × 4,977.16
  4. Step 4: Simplify right side
    15,365.64x = 114,738,569.02
  5. Step 5: Solve for x
    x = 114,738,569.02/15,365.64
  6. Step 6: Final answer
    x = 7,467.22

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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.