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Finding the Fourth Proportional to 17,973.20, 24,802.80 and 10,015.40

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Solution

The fourth proportional to 17,973.20, 24,802.80 and 10,015.40 is: 13,821.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,973.20 : 24,802.80 = 10,015.40 : x
  2. Step 2: Convert to fraction form
    17,973.20/24,802.80 = 10,015.40/x
  3. Step 3: Cross multiply
    17,973.20x = 24,802.80 × 10,015.40
  4. Step 4: Simplify right side
    17,973.20x = 248,409,963.12
  5. Step 5: Solve for x
    x = 248,409,963.12/17,973.20
  6. Step 6: Final answer
    x = 13,821.13

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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.