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Finding the Fourth Proportional to 21,041.28, 29,038.40 and 12,209.28

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Solution

The fourth proportional to 21,041.28, 29,038.40 and 12,209.28 is: 16,849.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,041.28 : 29,038.40 = 12,209.28 : x
  2. Step 2: Convert to fraction form
    21,041.28/29,038.40 = 12,209.28/x
  3. Step 3: Cross multiply
    21,041.28x = 29,038.40 × 12,209.28
  4. Step 4: Simplify right side
    21,041.28x = 354,537,956.35
  5. Step 5: Solve for x
    x = 354,537,956.35/21,041.28
  6. Step 6: Final answer
    x = 16,849.64

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1.5x scale

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.