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Finding the Fourth Proportional to 18,970.31, 28,458.55 and 7,125

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Solution

The fourth proportional to 18,970.31, 28,458.55 and 7,125 is: 10,688.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,970.31 : 28,458.55 = 7,125 : x
  2. Step 2: Convert to fraction form
    18,970.31/28,458.55 = 7,125/x
  3. Step 3: Cross multiply
    18,970.31x = 28,458.55 × 7,125
  4. Step 4: Simplify right side
    18,970.31x = 202,767,133.13
  5. Step 5: Solve for x
    x = 202,767,133.13/18,970.31
  6. Step 6: Final answer
    x = 10,688.66

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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.