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Finding the Fourth Proportional to 15,966.23, 22,035.98 and 9,681.71

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Solution

The fourth proportional to 15,966.23, 22,035.98 and 9,681.71 is: 13,362.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,966.23 : 22,035.98 = 9,681.71 : x
  2. Step 2: Convert to fraction form
    15,966.23/22,035.98 = 9,681.71/x
  3. Step 3: Cross multiply
    15,966.23x = 22,035.98 × 9,681.71
  4. Step 4: Simplify right side
    15,966.23x = 213,345,881.95
  5. Step 5: Solve for x
    x = 213,345,881.95/15,966.23
  6. Step 6: Final answer
    x = 13,362.32

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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.