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Finding the Fourth Proportional to 14,887.84, 22,335 and 5,026.70

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Solution

The fourth proportional to 14,887.84, 22,335 and 5,026.70 is: 7,541.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,887.84 : 22,335 = 5,026.70 : x
  2. Step 2: Convert to fraction form
    14,887.84/22,335 = 5,026.70/x
  3. Step 3: Cross multiply
    14,887.84x = 22,335 × 5,026.70
  4. Step 4: Simplify right side
    14,887.84x = 112,271,344.50
  5. Step 5: Solve for x
    x = 112,271,344.50/14,887.84
  6. Step 6: Final answer
    x = 7,541.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.