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Finding the Fourth Proportional to 10,011.30, 14,030.40 and 10,011.30

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Solution

The fourth proportional to 10,011.30, 14,030.40 and 10,011.30 is: 14,030.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,011.30 : 14,030.40 = 10,011.30 : x
  2. Step 2: Convert to fraction form
    10,011.30/14,030.40 = 10,011.30/x
  3. Step 3: Cross multiply
    10,011.30x = 14,030.40 × 10,011.30
  4. Step 4: Simplify right side
    10,011.30x = 140,462,543.52
  5. Step 5: Solve for x
    x = 140,462,543.52/10,011.30
  6. Step 6: Final answer
    x = 14,030.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.