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Finding the Fourth Proportional to 13,798.38, 19,041.84 and 7,510.89

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Solution

The fourth proportional to 13,798.38, 19,041.84 and 7,510.89 is: 10,365.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,798.38 : 19,041.84 = 7,510.89 : x
  2. Step 2: Convert to fraction form
    13,798.38/19,041.84 = 7,510.89/x
  3. Step 3: Cross multiply
    13,798.38x = 19,041.84 × 7,510.89
  4. Step 4: Simplify right side
    13,798.38x = 143,021,165.64
  5. Step 5: Solve for x
    x = 143,021,165.64/13,798.38
  6. Step 6: Final answer
    x = 10,365.07

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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.