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Finding the Fourth Proportional to 17,973.60, 24,804 and 10,016.16

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Solution

The fourth proportional to 17,973.60, 24,804 and 10,016.16 is: 13,822.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,973.60 : 24,804 = 10,016.16 : x
  2. Step 2: Convert to fraction form
    17,973.60/24,804 = 10,016.16/x
  3. Step 3: Cross multiply
    17,973.60x = 24,804 × 10,016.16
  4. Step 4: Simplify right side
    17,973.60x = 248,440,832.64
  5. Step 5: Solve for x
    x = 248,440,832.64/17,973.60
  6. Step 6: Final answer
    x = 13,822.54

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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.