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Finding the Fourth Proportional to 13,064.25, 19,599.63 and 3,830.25

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Solution

The fourth proportional to 13,064.25, 19,599.63 and 3,830.25 is: 5,746.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,064.25 : 19,599.63 = 3,830.25 : x
  2. Step 2: Convert to fraction form
    13,064.25/19,599.63 = 3,830.25/x
  3. Step 3: Cross multiply
    13,064.25x = 19,599.63 × 3,830.25
  4. Step 4: Simplify right side
    13,064.25x = 75,071,482.81
  5. Step 5: Solve for x
    x = 75,071,482.81/13,064.25
  6. Step 6: Final answer
    x = 5,746.33

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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.