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Finding the Fourth Proportional to 19,107.68, 26,368.84 and 10,724

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Solution

The fourth proportional to 19,107.68, 26,368.84 and 10,724 is: 14,799.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,107.68 : 26,368.84 = 10,724 : x
  2. Step 2: Convert to fraction form
    19,107.68/26,368.84 = 10,724/x
  3. Step 3: Cross multiply
    19,107.68x = 26,368.84 × 10,724
  4. Step 4: Simplify right side
    19,107.68x = 282,779,440.16
  5. Step 5: Solve for x
    x = 282,779,440.16/19,107.68
  6. Step 6: Final answer
    x = 14,799.26

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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.