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Finding the Fourth Proportional to 14,600.16, 21,898.08 and 5,364

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Solution

The fourth proportional to 14,600.16, 21,898.08 and 5,364 is: 8,045.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,600.16 : 21,898.08 = 5,364 : x
  2. Step 2: Convert to fraction form
    14,600.16/21,898.08 = 5,364/x
  3. Step 3: Cross multiply
    14,600.16x = 21,898.08 × 5,364
  4. Step 4: Simplify right side
    14,600.16x = 117,461,301.12
  5. Step 5: Solve for x
    x = 117,461,301.12/14,600.16
  6. Step 6: Final answer
    x = 8,045.21

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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.