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Finding the Fourth Proportional to 14,428.64, 19,909.32 and 9,130.70

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Solution

The fourth proportional to 14,428.64, 19,909.32 and 9,130.70 is: 12,598.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,428.64 : 19,909.32 = 9,130.70 : x
  2. Step 2: Convert to fraction form
    14,428.64/19,909.32 = 9,130.70/x
  3. Step 3: Cross multiply
    14,428.64x = 19,909.32 × 9,130.70
  4. Step 4: Simplify right side
    14,428.64x = 181,786,028.12
  5. Step 5: Solve for x
    x = 181,786,028.12/14,428.64
  6. Step 6: Final answer
    x = 12,598.97

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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.