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Finding the Fourth Proportional to 10,606.23, 15,831.81 and 9,835.29

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Solution

The fourth proportional to 10,606.23, 15,831.81 and 9,835.29 is: 14,681.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.23 : 15,831.81 = 9,835.29 : x
  2. Step 2: Convert to fraction form
    10,606.23/15,831.81 = 9,835.29/x
  3. Step 3: Cross multiply
    10,606.23x = 15,831.81 × 9,835.29
  4. Step 4: Simplify right side
    10,606.23x = 155,710,442.57
  5. Step 5: Solve for x
    x = 155,710,442.57/10,606.23
  6. Step 6: Final answer
    x = 14,681.04

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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.