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Finding the Fourth Proportional to 15,803.61, 21,813.33 and 9,831.72

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Solution

The fourth proportional to 15,803.61, 21,813.33 and 9,831.72 is: 13,570.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,803.61 : 21,813.33 = 9,831.72 : x
  2. Step 2: Convert to fraction form
    15,803.61/21,813.33 = 9,831.72/x
  3. Step 3: Cross multiply
    15,803.61x = 21,813.33 × 9,831.72
  4. Step 4: Simplify right side
    15,803.61x = 214,462,394.60
  5. Step 5: Solve for x
    x = 214,462,394.60/15,803.61
  6. Step 6: Final answer
    x = 13,570.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.