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Finding the Fourth Proportional to 14,209.60, 21,314.40 and 9,038.40

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Solution

The fourth proportional to 14,209.60, 21,314.40 and 9,038.40 is: 13,557.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,209.60 : 21,314.40 = 9,038.40 : x
  2. Step 2: Convert to fraction form
    14,209.60/21,314.40 = 9,038.40/x
  3. Step 3: Cross multiply
    14,209.60x = 21,314.40 × 9,038.40
  4. Step 4: Simplify right side
    14,209.60x = 192,648,072.96
  5. Step 5: Solve for x
    x = 192,648,072.96/14,209.60
  6. Step 6: Final answer
    x = 13,557.60

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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.