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Finding the Fourth Proportional to 13,878.64, 19,152.67 and 7,590.88

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Solution

The fourth proportional to 13,878.64, 19,152.67 and 7,590.88 is: 10,475.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878.64 : 19,152.67 = 7,590.88 : x
  2. Step 2: Convert to fraction form
    13,878.64/19,152.67 = 7,590.88/x
  3. Step 3: Cross multiply
    13,878.64x = 19,152.67 × 7,590.88
  4. Step 4: Simplify right side
    13,878.64x = 145,385,523.89
  5. Step 5: Solve for x
    x = 145,385,523.89/13,878.64
  6. Step 6: Final answer
    x = 10,475.49

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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.