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Finding the Fourth Proportional to 13,904.19, 20,803.96 and 9,752.30

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Solution

The fourth proportional to 13,904.19, 20,803.96 and 9,752.30 is: 14,591.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,904.19 : 20,803.96 = 9,752.30 : x
  2. Step 2: Convert to fraction form
    13,904.19/20,803.96 = 9,752.30/x
  3. Step 3: Cross multiply
    13,904.19x = 20,803.96 × 9,752.30
  4. Step 4: Simplify right side
    13,904.19x = 202,886,459.11
  5. Step 5: Solve for x
    x = 202,886,459.11/13,904.19
  6. Step 6: Final answer
    x = 14,591.75

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1.5x scale

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.