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Finding the Fourth Proportional to 14,718.42, 22,058.91 and 6,916.50

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Solution

The fourth proportional to 14,718.42, 22,058.91 and 6,916.50 is: 10,365.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,718.42 : 22,058.91 = 6,916.50 : x
  2. Step 2: Convert to fraction form
    14,718.42/22,058.91 = 6,916.50/x
  3. Step 3: Cross multiply
    14,718.42x = 22,058.91 × 6,916.50
  4. Step 4: Simplify right side
    14,718.42x = 152,570,451.02
  5. Step 5: Solve for x
    x = 152,570,451.02/14,718.42
  6. Step 6: Final answer
    x = 10,365.95

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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.