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Finding the Fourth Proportional to 10,521.81, 15,783.25 and 9,989.75

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Solution

The fourth proportional to 10,521.81, 15,783.25 and 9,989.75 is: 14,985.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,521.81 : 15,783.25 = 9,989.75 : x
  2. Step 2: Convert to fraction form
    10,521.81/15,783.25 = 9,989.75/x
  3. Step 3: Cross multiply
    10,521.81x = 15,783.25 × 9,989.75
  4. Step 4: Simplify right side
    10,521.81x = 157,670,671.74
  5. Step 5: Solve for x
    x = 157,670,671.74/10,521.81
  6. Step 6: Final answer
    x = 14,985.14

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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.