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Finding the Fourth Proportional to 15,740.88, 23,602.56 and 7,298.16

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Solution

The fourth proportional to 15,740.88, 23,602.56 and 7,298.16 is: 10,943.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,740.88 : 23,602.56 = 7,298.16 : x
  2. Step 2: Convert to fraction form
    15,740.88/23,602.56 = 7,298.16/x
  3. Step 3: Cross multiply
    15,740.88x = 23,602.56 × 7,298.16
  4. Step 4: Simplify right side
    15,740.88x = 172,255,259.29
  5. Step 5: Solve for x
    x = 172,255,259.29/15,740.88
  6. Step 6: Final answer
    x = 10,943.18

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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.