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Finding the Fourth Proportional to 13,022.51, 17,970.93 and 7,054.11

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Solution

The fourth proportional to 13,022.51, 17,970.93 and 7,054.11 is: 9,734.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.51 : 17,970.93 = 7,054.11 : x
  2. Step 2: Convert to fraction form
    13,022.51/17,970.93 = 7,054.11/x
  3. Step 3: Cross multiply
    13,022.51x = 17,970.93 × 7,054.11
  4. Step 4: Simplify right side
    13,022.51x = 126,768,917.02
  5. Step 5: Solve for x
    x = 126,768,917.02/13,022.51
  6. Step 6: Final answer
    x = 9,734.60

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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.