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Finding the Fourth Proportional to 13,878.57, 19,152.88 and 7,590.95

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Solution

The fourth proportional to 13,878.57, 19,152.88 and 7,590.95 is: 10,475.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878.57 : 19,152.88 = 7,590.95 : x
  2. Step 2: Convert to fraction form
    13,878.57/19,152.88 = 7,590.95/x
  3. Step 3: Cross multiply
    13,878.57x = 19,152.88 × 7,590.95
  4. Step 4: Simplify right side
    13,878.57x = 145,388,458.67
  5. Step 5: Solve for x
    x = 145,388,458.67/13,878.57
  6. Step 6: Final answer
    x = 10,475.75

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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.