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Finding the Fourth Proportional to 19,978.19, 27,580.26 and 14,594.58

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Solution

The fourth proportional to 19,978.19, 27,580.26 and 14,594.58 is: 20,148.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,978.19 : 27,580.26 = 14,594.58 : x
  2. Step 2: Convert to fraction form
    19,978.19/27,580.26 = 14,594.58/x
  3. Step 3: Cross multiply
    19,978.19x = 27,580.26 × 14,594.58
  4. Step 4: Simplify right side
    19,978.19x = 402,522,242.04
  5. Step 5: Solve for x
    x = 402,522,242.04/19,978.19
  6. Step 6: Final answer
    x = 20,148.09

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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.