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Finding the Fourth Proportional to 13,792.12, 19,030.22 and 9,019.06

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Solution

The fourth proportional to 13,792.12, 19,030.22 and 9,019.06 is: 12,444.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,792.12 : 19,030.22 = 9,019.06 : x
  2. Step 2: Convert to fraction form
    13,792.12/19,030.22 = 9,019.06/x
  3. Step 3: Cross multiply
    13,792.12x = 19,030.22 × 9,019.06
  4. Step 4: Simplify right side
    13,792.12x = 171,634,637.14
  5. Step 5: Solve for x
    x = 171,634,637.14/13,792.12
  6. Step 6: Final answer
    x = 12,444.40

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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.