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Finding the Fourth Proportional to 13,931.64, 19,225.16 and 7,963.86

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Solution

The fourth proportional to 13,931.64, 19,225.16 and 7,963.86 is: 10,989.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,931.64 : 19,225.16 = 7,963.86 : x
  2. Step 2: Convert to fraction form
    13,931.64/19,225.16 = 7,963.86/x
  3. Step 3: Cross multiply
    13,931.64x = 19,225.16 × 7,963.86
  4. Step 4: Simplify right side
    13,931.64x = 153,106,482.72
  5. Step 5: Solve for x
    x = 153,106,482.72/13,931.64
  6. Step 6: Final answer
    x = 10,989.84

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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.