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Finding the Fourth Proportional to 19,254, 26,570.76 and 10,870.56

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Solution

The fourth proportional to 19,254, 26,570.76 and 10,870.56 is: 15,001.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,254 : 26,570.76 = 10,870.56 : x
  2. Step 2: Convert to fraction form
    19,254/26,570.76 = 10,870.56/x
  3. Step 3: Cross multiply
    19,254x = 26,570.76 × 10,870.56
  4. Step 4: Simplify right side
    19,254x = 288,839,040.83
  5. Step 5: Solve for x
    x = 288,839,040.83/19,254
  6. Step 6: Final answer
    x = 15,001.51

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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.