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Finding the Fourth Proportional to 14,116.08, 19,479.54 and 7,828.32

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Solution

The fourth proportional to 14,116.08, 19,479.54 and 7,828.32 is: 10,802.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,116.08 : 19,479.54 = 7,828.32 : x
  2. Step 2: Convert to fraction form
    14,116.08/19,479.54 = 7,828.32/x
  3. Step 3: Cross multiply
    14,116.08x = 19,479.54 × 7,828.32
  4. Step 4: Simplify right side
    14,116.08x = 152,492,072.57
  5. Step 5: Solve for x
    x = 152,492,072.57/14,116.08
  6. Step 6: Final answer
    x = 10,802.72

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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.