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Finding the Fourth Proportional to 14,381.64, 19,848.51 and 8,095.23

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Solution

The fourth proportional to 14,381.64, 19,848.51 and 8,095.23 is: 11,172.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,381.64 : 19,848.51 = 8,095.23 : x
  2. Step 2: Convert to fraction form
    14,381.64/19,848.51 = 8,095.23/x
  3. Step 3: Cross multiply
    14,381.64x = 19,848.51 × 8,095.23
  4. Step 4: Simplify right side
    14,381.64x = 160,678,253.61
  5. Step 5: Solve for x
    x = 160,678,253.61/14,381.64
  6. Step 6: Final answer
    x = 11,172.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.