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Finding the Fourth Proportional to 25,783.40, 35,598.24 and 19,804.38

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Solution

The fourth proportional to 25,783.40, 35,598.24 and 19,804.38 is: 27,343.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,783.40 : 35,598.24 = 19,804.38 : x
  2. Step 2: Convert to fraction form
    25,783.40/35,598.24 = 19,804.38/x
  3. Step 3: Cross multiply
    25,783.40x = 35,598.24 × 19,804.38
  4. Step 4: Simplify right side
    25,783.40x = 705,001,072.29
  5. Step 5: Solve for x
    x = 705,001,072.29/25,783.40
  6. Step 6: Final answer
    x = 27,343.22

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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.