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Finding the Fourth Proportional to 13,133.18, 19,702.70 and 4,813.02

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Solution

The fourth proportional to 13,133.18, 19,702.70 and 4,813.02 is: 7,220.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,133.18 : 19,702.70 = 4,813.02 : x
  2. Step 2: Convert to fraction form
    13,133.18/19,702.70 = 4,813.02/x
  3. Step 3: Cross multiply
    13,133.18x = 19,702.70 × 4,813.02
  4. Step 4: Simplify right side
    13,133.18x = 94,829,489.15
  5. Step 5: Solve for x
    x = 94,829,489.15/13,133.18
  6. Step 6: Final answer
    x = 7,220.60

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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.