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Finding the Fourth Proportional to 14,125.64, 19,492.58 and 8,159.16

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Solution

The fourth proportional to 14,125.64, 19,492.58 and 8,159.16 is: 11,259.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,125.64 : 19,492.58 = 8,159.16 : x
  2. Step 2: Convert to fraction form
    14,125.64/19,492.58 = 8,159.16/x
  3. Step 3: Cross multiply
    14,125.64x = 19,492.58 × 8,159.16
  4. Step 4: Simplify right side
    14,125.64x = 159,043,079.03
  5. Step 5: Solve for x
    x = 159,043,079.03/14,125.64
  6. Step 6: Final answer
    x = 11,259.18

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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.