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Finding the Fourth Proportional to 14,030.16, 19,353 and 8,361

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Solution

The fourth proportional to 14,030.16, 19,353 and 8,361 is: 11,533.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,030.16 : 19,353 = 8,361 : x
  2. Step 2: Convert to fraction form
    14,030.16/19,353 = 8,361/x
  3. Step 3: Cross multiply
    14,030.16x = 19,353 × 8,361
  4. Step 4: Simplify right side
    14,030.16x = 161,810,433
  5. Step 5: Solve for x
    x = 161,810,433/14,030.16
  6. Step 6: Final answer
    x = 11,533.04

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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.