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Finding the Fourth Proportional to 14,570.16, 21,853.08 and 5,334

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Solution

The fourth proportional to 14,570.16, 21,853.08 and 5,334 is: 8,000.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,570.16 : 21,853.08 = 5,334 : x
  2. Step 2: Convert to fraction form
    14,570.16/21,853.08 = 5,334/x
  3. Step 3: Cross multiply
    14,570.16x = 21,853.08 × 5,334
  4. Step 4: Simplify right side
    14,570.16x = 116,564,328.72
  5. Step 5: Solve for x
    x = 116,564,328.72/14,570.16
  6. Step 6: Final answer
    x = 8,000.21

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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.