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Finding the Fourth Proportional to 14,065.25, 19,402.74 and 10,702.53

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Solution

The fourth proportional to 14,065.25, 19,402.74 and 10,702.53 is: 14,763.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,065.25 : 19,402.74 = 10,702.53 : x
  2. Step 2: Convert to fraction form
    14,065.25/19,402.74 = 10,702.53/x
  3. Step 3: Cross multiply
    14,065.25x = 19,402.74 × 10,702.53
  4. Step 4: Simplify right side
    14,065.25x = 207,658,406.93
  5. Step 5: Solve for x
    x = 207,658,406.93/14,065.25
  6. Step 6: Final answer
    x = 14,763.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.