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Finding the Fourth Proportional to 14,442.40, 19,666.24 and 14,442.40

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Solution

The fourth proportional to 14,442.40, 19,666.24 and 14,442.40 is: 19,666.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,442.40 : 19,666.24 = 14,442.40 : x
  2. Step 2: Convert to fraction form
    14,442.40/19,666.24 = 14,442.40/x
  3. Step 3: Cross multiply
    14,442.40x = 19,666.24 × 14,442.40
  4. Step 4: Simplify right side
    14,442.40x = 284,027,704.58
  5. Step 5: Solve for x
    x = 284,027,704.58/14,442.40
  6. Step 6: Final answer
    x = 19,666.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.