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Finding the Fourth Proportional to 14,152.65, 19,531.02 and 8,488.32

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Solution

The fourth proportional to 14,152.65, 19,531.02 and 8,488.32 is: 11,714.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,152.65 : 19,531.02 = 8,488.32 : x
  2. Step 2: Convert to fraction form
    14,152.65/19,531.02 = 8,488.32/x
  3. Step 3: Cross multiply
    14,152.65x = 19,531.02 × 8,488.32
  4. Step 4: Simplify right side
    14,152.65x = 165,785,547.69
  5. Step 5: Solve for x
    x = 165,785,547.69/14,152.65
  6. Step 6: Final answer
    x = 11,714.10

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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.