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Finding the Fourth Proportional to 10,089.12, 13,894.02 and 10,056.32

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Solution

The fourth proportional to 10,089.12, 13,894.02 and 10,056.32 is: 13,848.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089.12 : 13,894.02 = 10,056.32 : x
  2. Step 2: Convert to fraction form
    10,089.12/13,894.02 = 10,056.32/x
  3. Step 3: Cross multiply
    10,089.12x = 13,894.02 × 10,056.32
  4. Step 4: Simplify right side
    10,089.12x = 139,722,641.74
  5. Step 5: Solve for x
    x = 139,722,641.74/10,089.12
  6. Step 6: Final answer
    x = 13,848.84

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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.