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Finding the Fourth Proportional to 23,547.84, 32,522.28 and 15,981

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Solution

The fourth proportional to 23,547.84, 32,522.28 and 15,981 is: 22,071.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,547.84 : 32,522.28 = 15,981 : x
  2. Step 2: Convert to fraction form
    23,547.84/32,522.28 = 15,981/x
  3. Step 3: Cross multiply
    23,547.84x = 32,522.28 × 15,981
  4. Step 4: Simplify right side
    23,547.84x = 519,738,556.68
  5. Step 5: Solve for x
    x = 519,738,556.68/23,547.84
  6. Step 6: Final answer
    x = 22,071.60

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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.