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Finding the Fourth Proportional to 14,089.16, 19,443.48 and 7,802.12

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Solution

The fourth proportional to 14,089.16, 19,443.48 and 7,802.12 is: 10,767.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,089.16 : 19,443.48 = 7,802.12 : x
  2. Step 2: Convert to fraction form
    14,089.16/19,443.48 = 7,802.12/x
  3. Step 3: Cross multiply
    14,089.16x = 19,443.48 × 7,802.12
  4. Step 4: Simplify right side
    14,089.16x = 151,700,364.18
  5. Step 5: Solve for x
    x = 151,700,364.18/14,089.16
  6. Step 6: Final answer
    x = 10,767.17

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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.