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Finding the Fourth Proportional to 15,807.42, 21,804.60 and 10,140.26

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Solution

The fourth proportional to 15,807.42, 21,804.60 and 10,140.26 is: 13,987.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,807.42 : 21,804.60 = 10,140.26 : x
  2. Step 2: Convert to fraction form
    15,807.42/21,804.60 = 10,140.26/x
  3. Step 3: Cross multiply
    15,807.42x = 21,804.60 × 10,140.26
  4. Step 4: Simplify right side
    15,807.42x = 221,104,313.20
  5. Step 5: Solve for x
    x = 221,104,313.20/15,807.42
  6. Step 6: Final answer
    x = 13,987.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.