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Finding the Fourth Proportional to 14,412.19, 19,888.05 and 8,124.16

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Solution

The fourth proportional to 14,412.19, 19,888.05 and 8,124.16 is: 11,210.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,412.19 : 19,888.05 = 8,124.16 : x
  2. Step 2: Convert to fraction form
    14,412.19/19,888.05 = 8,124.16/x
  3. Step 3: Cross multiply
    14,412.19x = 19,888.05 × 8,124.16
  4. Step 4: Simplify right side
    14,412.19x = 161,573,700.29
  5. Step 5: Solve for x
    x = 161,573,700.29/14,412.19
  6. Step 6: Final answer
    x = 11,210.91

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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.