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Finding the Fourth Proportional to 15,830.66, 21,849.93 and 9,120.17

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Solution

The fourth proportional to 15,830.66, 21,849.93 and 9,120.17 is: 12,587.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,830.66 : 21,849.93 = 9,120.17 : x
  2. Step 2: Convert to fraction form
    15,830.66/21,849.93 = 9,120.17/x
  3. Step 3: Cross multiply
    15,830.66x = 21,849.93 × 9,120.17
  4. Step 4: Simplify right side
    15,830.66x = 199,274,966.84
  5. Step 5: Solve for x
    x = 199,274,966.84/15,830.66
  6. Step 6: Final answer
    x = 12,587.92

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