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Finding the Fourth Proportional to 30,705.40, 46,058.08 and 13,818.67

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Solution

The fourth proportional to 30,705.40, 46,058.08 and 13,818.67 is: 20,728.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,705.40 : 46,058.08 = 13,818.67 : x
  2. Step 2: Convert to fraction form
    30,705.40/46,058.08 = 13,818.67/x
  3. Step 3: Cross multiply
    30,705.40x = 46,058.08 × 13,818.67
  4. Step 4: Simplify right side
    30,705.40x = 636,461,408.35
  5. Step 5: Solve for x
    x = 636,461,408.35/30,705.40
  6. Step 6: Final answer
    x = 20,728.00

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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.