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Finding the Fourth Proportional to 39,810.16, 59,713.08 and 12,106

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Solution

The fourth proportional to 39,810.16, 59,713.08 and 12,106 is: 18,158.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,810.16 : 59,713.08 = 12,106 : x
  2. Step 2: Convert to fraction form
    39,810.16/59,713.08 = 12,106/x
  3. Step 3: Cross multiply
    39,810.16x = 59,713.08 × 12,106
  4. Step 4: Simplify right side
    39,810.16x = 722,886,546.48
  5. Step 5: Solve for x
    x = 722,886,546.48/39,810.16
  6. Step 6: Final answer
    x = 18,158.34

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