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Finding the Fourth Proportional to 14,361.95, 19,822.33 and 9,319.09

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Solution

The fourth proportional to 14,361.95, 19,822.33 and 9,319.09 is: 12,862.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,361.95 : 19,822.33 = 9,319.09 : x
  2. Step 2: Convert to fraction form
    14,361.95/19,822.33 = 9,319.09/x
  3. Step 3: Cross multiply
    14,361.95x = 19,822.33 × 9,319.09
  4. Step 4: Simplify right side
    14,361.95x = 184,725,931.57
  5. Step 5: Solve for x
    x = 184,725,931.57/14,361.95
  6. Step 6: Final answer
    x = 12,862.18

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1.5x scale

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.