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Finding the Fourth Proportional to 20,888.04, 31,332.06 and 10,492.50

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Solution

The fourth proportional to 20,888.04, 31,332.06 and 10,492.50 is: 15,738.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,888.04 : 31,332.06 = 10,492.50 : x
  2. Step 2: Convert to fraction form
    20,888.04/31,332.06 = 10,492.50/x
  3. Step 3: Cross multiply
    20,888.04x = 31,332.06 × 10,492.50
  4. Step 4: Simplify right side
    20,888.04x = 328,751,639.55
  5. Step 5: Solve for x
    x = 328,751,639.55/20,888.04
  6. Step 6: Final answer
    x = 15,738.75

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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.