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Finding the Fourth Proportional to 15,931.54, 21,981.09 and 9,554.14

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Solution

The fourth proportional to 15,931.54, 21,981.09 and 9,554.14 is: 13,182.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,931.54 : 21,981.09 = 9,554.14 : x
  2. Step 2: Convert to fraction form
    15,931.54/21,981.09 = 9,554.14/x
  3. Step 3: Cross multiply
    15,931.54x = 21,981.09 × 9,554.14
  4. Step 4: Simplify right side
    15,931.54x = 210,010,411.21
  5. Step 5: Solve for x
    x = 210,010,411.21/15,931.54
  6. Step 6: Final answer
    x = 13,182.05

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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.