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Finding the Fourth Proportional to 13,698.12, 20,526.54 and 10,573.38

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Solution

The fourth proportional to 13,698.12, 20,526.54 and 10,573.38 is: 15,844.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.12 : 20,526.54 = 10,573.38 : x
  2. Step 2: Convert to fraction form
    13,698.12/20,526.54 = 10,573.38/x
  3. Step 3: Cross multiply
    13,698.12x = 20,526.54 × 10,573.38
  4. Step 4: Simplify right side
    13,698.12x = 217,034,907.51
  5. Step 5: Solve for x
    x = 217,034,907.51/13,698.12
  6. Step 6: Final answer
    x = 15,844.14

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