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Finding the Fourth Proportional to 15,420.51, 23,116.05 and 7,106.13

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Solution

The fourth proportional to 15,420.51, 23,116.05 and 7,106.13 is: 10,652.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,420.51 : 23,116.05 = 7,106.13 : x
  2. Step 2: Convert to fraction form
    15,420.51/23,116.05 = 7,106.13/x
  3. Step 3: Cross multiply
    15,420.51x = 23,116.05 × 7,106.13
  4. Step 4: Simplify right side
    15,420.51x = 164,265,656.39
  5. Step 5: Solve for x
    x = 164,265,656.39/15,420.51
  6. Step 6: Final answer
    x = 10,652.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.