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Finding the Fourth Proportional to 13,798, 19,041.24 and 7,510.42

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Solution

The fourth proportional to 13,798, 19,041.24 and 7,510.42 is: 10,364.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,798 : 19,041.24 = 7,510.42 : x
  2. Step 2: Convert to fraction form
    13,798/19,041.24 = 7,510.42/x
  3. Step 3: Cross multiply
    13,798x = 19,041.24 × 7,510.42
  4. Step 4: Simplify right side
    13,798x = 143,007,709.72
  5. Step 5: Solve for x
    x = 143,007,709.72/13,798
  6. Step 6: Final answer
    x = 10,364.38

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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.