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Finding the Fourth Proportional to 14,381.84, 19,856.04 and 9,904.16

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Solution

The fourth proportional to 14,381.84, 19,856.04 and 9,904.16 is: 13,674.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,381.84 : 19,856.04 = 9,904.16 : x
  2. Step 2: Convert to fraction form
    14,381.84/19,856.04 = 9,904.16/x
  3. Step 3: Cross multiply
    14,381.84x = 19,856.04 × 9,904.16
  4. Step 4: Simplify right side
    14,381.84x = 196,657,397.13
  5. Step 5: Solve for x
    x = 196,657,397.13/14,381.84
  6. Step 6: Final answer
    x = 13,674.01

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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.