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Finding the Fourth Proportional to 24,929.84, 34,419.12 and 15,511.16

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Solution

The fourth proportional to 24,929.84, 34,419.12 and 15,511.16 is: 21,415.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,929.84 : 34,419.12 = 15,511.16 : x
  2. Step 2: Convert to fraction form
    24,929.84/34,419.12 = 15,511.16/x
  3. Step 3: Cross multiply
    24,929.84x = 34,419.12 × 15,511.16
  4. Step 4: Simplify right side
    24,929.84x = 533,880,477.38
  5. Step 5: Solve for x
    x = 533,880,477.38/24,929.84
  6. Step 6: Final answer
    x = 21,415.32

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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.