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Finding the Fourth Proportional to 20,698.53, 31,041.10 and 8,852.01

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Solution

The fourth proportional to 20,698.53, 31,041.10 and 8,852.01 is: 13,275.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,698.53 : 31,041.10 = 8,852.01 : x
  2. Step 2: Convert to fraction form
    20,698.53/31,041.10 = 8,852.01/x
  3. Step 3: Cross multiply
    20,698.53x = 31,041.10 × 8,852.01
  4. Step 4: Simplify right side
    20,698.53x = 274,776,127.61
  5. Step 5: Solve for x
    x = 274,776,127.61/20,698.53
  6. Step 6: Final answer
    x = 13,275.15

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Why These Related Problems?

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