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Finding the Fourth Proportional to 10,225.41, 15,246.05 and 9,970.26

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Solution

The fourth proportional to 10,225.41, 15,246.05 and 9,970.26 is: 14,865.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,225.41 : 15,246.05 = 9,970.26 : x
  2. Step 2: Convert to fraction form
    10,225.41/15,246.05 = 9,970.26/x
  3. Step 3: Cross multiply
    10,225.41x = 15,246.05 × 9,970.26
  4. Step 4: Simplify right side
    10,225.41x = 152,007,032.62
  5. Step 5: Solve for x
    x = 152,007,032.62/10,225.41
  6. Step 6: Final answer
    x = 14,865.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.